File:A finite energy foliation (8756313989).jpg

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The picture represents a 'finite energy foliation' of the 3-dimensional manifold S1 x S2 with its standard contact structure.

Finite energy foliations are ways of filling 3-dimensional space with smooth surfaces that are solutions to a differential equation arising in string theory. Such pictures can help us gain insight into problems in dynamical systems and in topology. An important strand in research by Chris Wendl (UCL Mathematics) has been using finite energy foliations to try and answer the question, "how many different 4-dimensional shapes could this 3-dimensional shape be the boundary of?"


One can use this particular picture to deduce that the answer is exactly one.
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Source A finite energy foliation
Author UCL Mathematical & Physical Sciences from London, UK

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This image was originally posted to Flickr by UCL Mathematical & Physical Sciences at https://flickr.com/photos/93636241@N07/8756313989. It was reviewed on 5 December 2020 by FlickreviewR 2 and was confirmed to be licensed under the terms of the cc-by-2.0.

5 December 2020

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Date/TimeThumbnailDimensionsUserComment
current11:05, 5 December 2020Thumbnail for version as of 11:05, 5 December 20202,449 × 2,231 (337 KB)Eyes Roger (talk | contribs)Transferred from Flickr via #flickr2commons

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