%0 Generic %1 menne2017concept %A Menne, Ulrich %D 2017 %K 2017 arxiv calculus manifold reference tutorial %R 10.1090/noti1589 %T The concept of varifold %U http://arxiv.org/abs/1705.05253 %X We survey - by means of 20 examples - the concept of varifold, as generalised submanifold, with emphasis on regularity of integral varifolds with mean curvature, while keeping prerequisites to a minimum. Integral varifolds are the natural language for studying the variational theory of the area integrand if one considers, for instance, existence or regularity of stationary (or, stable) surfaces of dimension at least three, or the limiting behaviour of sequences of smooth submanifolds under area and mean curvature bounds.

@misc{menne2017concept, abstract = {We survey - by means of 20 examples - the concept of varifold, as generalised submanifold, with emphasis on regularity of integral varifolds with mean curvature, while keeping prerequisites to a minimum. Integral varifolds are the natural language for studying the variational theory of the area integrand if one considers, for instance, existence or regularity of stationary (or, stable) surfaces of dimension at least three, or the limiting behaviour of sequences of smooth submanifolds under area and mean curvature bounds.}, added-at = {2018-02-04T06:09:49.000+0100}, author = {Menne, Ulrich}, biburl = {https://www.bibsonomy.org/bibtex/22eac54c54a69465bfa2ceaaf5e8b5ff6/achakraborty}, description = {[1705.05253] The concept of varifold}, doi = {10.1090/noti1589}, interhash = {c547e510744aa5295b772d6752a059f6}, intrahash = {2eac54c54a69465bfa2ceaaf5e8b5ff6}, keywords = {2017 arxiv calculus manifold reference tutorial}, note = {cite arxiv:1705.05253Comment: The present text is a version with additional references but without figures of a note compiled for the Notices of the American Mathematical Society. (v4: considerably expanded introduction, 6 pages)}, timestamp = {2018-02-04T06:09:49.000+0100}, title = {The concept of varifold}, url = {http://arxiv.org/abs/1705.05253}, year = 2017 }