Weakly Differentiable Mappings Between Manifolds |
|
Series title: | Memoirs of the American Mathematical Society Ser. |
ISBN: | 978-0-8218-4079-5 |
Publication Date: | Feb 2008 |
Publisher: | American Mathematical Society
|
Book Format: | Paperback |
List Price: | AUD $96.00 |
Book Description:
|
A study of 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 ${{\mathcal W}}^{{1,n}}({{\mathbb X}}\,,\, {{\mathbb Y}})\,$, $n=\mbox{{dim}}\, {{\mathbb X}}$.
A study of 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 ${{\mathcal W}}^{{1,n}}({{\mathbb X}}\,,\, {{\mathbb Y}})\,$, $n=\mbox{{dim}}\, {{\mathbb X}}$.