Weakly differentiable mappings between manifolds
著者
書誌事項
Weakly differentiable mappings between manifolds
（Memoirs of the American Mathematical Society, no. 899）
American Mathematical Society, 2008
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注記
Bibliography: p. 71-72
内容説明・目次
内容説明
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:
目次
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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