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Connection-on-sphere.png (270 × 262 pixels, file size: 17 KB, MIME type: image/png)

Summary

Description
English: Transporting a vector along two different curves with the same initial and terminal point on a manifold gives different results. This picture uses the Levi-Civita connection for parallel transport along the red and blue curves on the sphere.
Date 12 August 2006 (original upload date)
Source Transferred from en.wikipedia to Commons by User:Ylebru using CommonsHelper.
Author Fjung at en.wikipedia


This math image could be re-created using vector graphics as an SVG file. This has several advantages; see Commons:Media for cleanup for more information. If an SVG form of this image is available, please upload it and afterwards replace this template with {{vector version available|new image name}}.


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Licensing

Public domain This work has been released into the public domain by its author, Fjung at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
Fjung grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2006-08-12 10:29 Fjung 270×262× (17015 bytes) Transporting a vector along two different curves with the same initial and terminal point on a manifold gives different results. This picture uses the Levi-Civita [[Mathematic (connection)|connection]] for parallel transport along the red an blue curves

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12 August 2006

image/png

e048cafc00820b571f2f97ab684e5c38fc9061c0

17,015 byte

262 pixel

270 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current15:25, 3 November 2008Thumbnail for version as of 15:25, 3 November 2008270 × 262 (17 KB)File Upload Bot (Magnus Manske) {{BotMoveToCommons|en.wikipedia}} {{Information |Description={{en|Transporting a vector along two different curves with the same initial and terminal point on a manifold gives different results. This picture uses the Levi-Civita [[:en:Connection (mathem

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