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    <title>Differential geometry</title>
    <link>https://lecture2go.uni-hamburg.de/l2go/-/get/l/5510</link>
    <description>Here you can find the lecture video for the course "Differentialgeometry" (English: differential geometry) in the summer semester 2020. For more information, download links, additional material, exercise sheets, and possible errata see&#13;
&#13;
https://www.math.uni-hamburg.de/home/lindemann/diffgeo_SS2020_lindemann.html&#13;
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    <language>en-US</language>
    <copyright>University of Hamburg Lecture2Go 2020</copyright>
    <itunes:author>University of Hamburg - Lecture2Go</itunes:author>
    <itunes:summary>The University of Hamburg offers a steadily growing portion of its lectures online and similar to a take-away. For further information and more video lectures visit the central media platform of the University of Hamburg at http://lecture2go.uni-hamburg.de!</itunes:summary>
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    <pubDate>Mon, 27 Jul 2020 14:25:22 +0200</pubDate>
    <lastBuildDate>Mon, 27 Jul 2020 14:25:22 +0200</lastBuildDate>
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      <title>Differential geometry</title>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/l/5510</link>
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      <title>Lecture 19: Geodesics &amp; curvature of pseudo-Riemannian submanifolds</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/36688</itunes:summary>
      <itunes:duration>02:54:11</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-36688_2020-07-27_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/36688</link>
      <pubDate>Mon, 27 Jul 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/36688</guid>
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    <item>
      <title>Lecture 18:  Curvature</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/36556</itunes:summary>
      <itunes:duration>02:56:14</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-36556_2020-07-16_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/36556</link>
      <pubDate>Thu, 16 Jul 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/36556</guid>
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    <item>
      <title>Lecture 17:  Geodesics and the exponential map</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/35928</itunes:summary>
      <itunes:duration>03:53:28</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-35928_2020-07-05_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/35928</link>
      <pubDate>Sun, 05 Jul 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/35928</guid>
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    <item>
      <title>Lecture 16:  Parallel transport and the Levi-Civita connection</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/35203</itunes:summary>
      <itunes:duration>02:47:05</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-35203_2020-06-26_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/35203</link>
      <pubDate>Fri, 26 Jun 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/35203</guid>
    </item>
    <item>
      <title>Lecture 15:  Connections in vector bundles</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/34376</itunes:summary>
      <itunes:duration>02:30:29</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-34376_2020-06-17_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/34376</link>
      <pubDate>Wed, 17 Jun 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/34376</guid>
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    <item>
      <title>Lecture 14:  Local frames and Killing vector fields</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/33736</itunes:summary>
      <itunes:duration>01:44:46</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-33736_2020-06-12_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/33736</link>
      <pubDate>Fri, 12 Jun 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/33736</guid>
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    <item>
      <title>Lecture 13:  Traces, raising and lowering indices, and vector bundles along pseudo-Riemannian submanifolds</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/33264</itunes:summary>
      <itunes:duration>02:20:02</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-33264_2020-06-08_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/33264</link>
      <pubDate>Mon, 08 Jun 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/33264</guid>
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    <item>
      <title>Lecture 12:  Pseudo-Riemannian manifolds</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/32851</itunes:summary>
      <itunes:duration>02:05:23</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-32851_2020-06-05_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/32851</link>
      <pubDate>Fri, 05 Jun 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/32851</guid>
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    <item>
      <title>Lecture 11:  Tensor bundles and tensor fields</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/32258</itunes:summary>
      <itunes:duration>02:25:27</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-32258_2020-05-26_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/32258</link>
      <pubDate>Tue, 26 May 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/32258</guid>
    </item>
    <item>
      <title>Lecture 10: Dual bundles, 1-forms, and the Whitney sum</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31951</itunes:summary>
      <itunes:duration>02:07:21</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-31951_2020-05-22_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31951</link>
      <pubDate>Fri, 22 May 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31951</guid>
    </item>
    <item>
      <title>Lecture 9:  Infinitesimal generators of one parameter groups of diffeomorphisms and the Lie derivative of vector fields</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31610</itunes:summary>
      <itunes:duration>01:53:00</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-31610_2020-05-19_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31610</link>
      <pubDate>Tue, 19 May 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31610</guid>
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    <item>
      <title>Lecture 8: Lie bracket of vector fields, integral curves, flows</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31074</itunes:summary>
      <itunes:duration>02:22:55</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-31074_2020-05-15_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31074</link>
      <pubDate>Fri, 15 May 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/31074</guid>
    </item>
    <item>
      <title>Lecture 7: The tangent bundle</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/30883</itunes:summary>
      <itunes:duration>02:13:01</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-30883_2020-05-12_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/30883</link>
      <pubDate>Tue, 12 May 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/30883</guid>
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    <item>
      <title>Lecture 6: Vector bundles</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/30049</itunes:summary>
      <itunes:duration>02:03:56</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-30049_2020-05-08_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/30049</link>
      <pubDate>Fri, 08 May 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/30049</guid>
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    <item>
      <title>Lecture 5:  Submanifolds</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/29874</itunes:summary>
      <itunes:duration>01:47:56</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-29874_2020-05-05_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/29874</link>
      <pubDate>Tue, 05 May 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/29874</guid>
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    <item>
      <title>Lecture 4: Tangent spaces (part 2)</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28946</itunes:summary>
      <itunes:duration>01:14:42</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-28946_2020-05-01_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28946</link>
      <pubDate>Fri, 01 May 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28946</guid>
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    <item>
      <title>Lecture 3: Tangent spaces (part 1)</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28944</itunes:summary>
      <itunes:duration>01:07:34</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/65-055_video-28944_2020-04-27_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28944</link>
      <pubDate>Mon, 27 Apr 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28944</guid>
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    <item>
      <title>Lecture 2: Smooth maps and the IFT</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28089</itunes:summary>
      <itunes:duration>00:59:22</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/00.000_video-28089_2020-04-24_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28089</link>
      <pubDate>Fri, 24 Apr 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/28089</guid>
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    <item>
      <title>Lecture 1: Smooth manifolds</title>
      <itunes:summary>https://lecture2go.uni-hamburg.de/l2go/-/get/v/27612</itunes:summary>
      <itunes:duration>00:57:33</itunes:duration>
      <itunes:image href="https://lecture2go.uni-hamburg.de/images/65-055_video-27612_2020-04-20_00-00_m.jpg"/>
      <link>https://lecture2go.uni-hamburg.de/l2go/-/get/v/27612</link>
      <pubDate>Mon, 20 Apr 2020 00:00:00 +0200</pubDate>
      <guid>https://lecture2go.uni-hamburg.de/l2go/-/get/v/27612</guid>
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