Generalized Curvatures is popular PDF and ePub book, written by Jean-Marie Morvan in 2008-05-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Generalized Curvatures can be Read Online from any device for your convenience.
Generalized Curvatures Book PDF Summary
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 and the area of the convex hull ofS are quantities geometric with respect toG . But the distance from the origin O to the closest point ofS is not, 0 since it is not invariant under translations ofS. It is important to point out that the property of being geometric depends on the chosen group. For instance, ifG is the 1 N group of projective transformations of E , then the property ofS being a circle is geometric forG but not forG , while the property of being a conic or a straight 0 1 line is geometric for bothG andG . This point of view may be generalized to any 0 1 subsetS of any vector space E endowed with a groupG acting on it.
Detail Book of Generalized Curvatures PDF
- Author : Jean-Marie Morvan
- Release : 13 May 2008
- Publisher : Springer Science & Business Media
- ISBN : 9783540737926
- Genre : Mathematics
- Total Page : 255 pages
- Language : English
- PDF File Size : 8,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Generalized Curvatures by Jean-Marie Morvan, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.