Jean-Marie Morvan
Generalized Curvatures
- Springer Berlin Heidelberg
- 2008
- Gebunden
- 280 Seiten
- ISBN 9783540737919
The central object of this book is the measure of geometric quantities describing N a subset of the Euclidean space (E ,), endowed with its standard scalar product. Let us state precisely what we mean by a geometric quantity. Consider a subset N S of points of the N-dimensional Euclidean space E , endowed with its standard N scalar product. LetG be the group of rigid motions of E . We say that a 0 quantity Q(S) associated toS is geometric with respect toG if the corresponding 0 quantity Q[g(S)] associated to g(S) equals Q(S), for all g? G . For instance, the 0 diameter ofS
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