Weakly differentiable mappings between manifolds
Author(s)
Bibliographic Information
Weakly differentiable mappings between manifolds
（Memoirs of the American Mathematical Society, no. 899）
American Mathematical Society, 2008
Available at 11 libraries
Note
Bibliography: p. 71-72
Description and Table of Contents
Description
The authors study Sobolev classes of weakly differentiable mappings $f:{\mathbb X}\rightarrow {\mathbb Y}$ between compact Riemannian manifolds without boundary. These mappings need not be continuous. They actually possess less regularity than the mappings in ${\mathcal W}{1,n}({\mathbb X}\, ,\, {\mathbb Y})\,$, $n=\mbox{dim}\, {\mathbb X}$. The central themes being discussed are:
Table of Contents
Introduction Preliminaries concerning manifolds Examples Some classes of functions Smooth approximation ${\mathcal L}^1$-Estimates of the Jacobian ${\mathcal H}^1$-Estimates Degree theory Mappings of finite distortion Bibliography.
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