|Title:||Geometry of submanifolds (Pure and applied mathematics, 22)|
|Format:||rtf docx mbr lrf|
|ePUB size:||1769 kb|
|FB2 size:||1704 kb|
|DJVU size:||1774 kb|
|Publisher:||M. Dekker; 1st edition (1973)|
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Bang-Yen Chen, Chinese Mathematics educator. Achievements include development of theory of submanifolds of finite type, co-development of (M+, M-)- theory. Member American Mathematics Society, Accademia Peloritana (correspondent member). During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds.
An Introduction to Differentiable Manifolds and Riemannian Geometry (Pure and applied mathematics, a series of monographs and textbooks). Download (pdf, . 8 Mb) Donate Read.
This book is a standard reference on the subject of differential manifolds and Riemannian geometry in many somewhat more applied fields, such as mine (control theory). Having used it as a reference for many years, I finally decided to read it cover to cover. I'm not done yet but went through more than half. 3. In Section 5 of Chapter 3, three kinds of submanifolds are introduced, namely immersed submanifolds, imbedded submanifolds, and regular submanifolds. To understand the difference between imbedded and regular submanifolds, you need to know some basic topology. And I think that the arguments could be a little messy to readers. I'd like to recommend that if the arguments require too much of your time, then you take it lightly.
Geometry of submanifolds (Pure and applied mathematics, 22). ISBN. 0824760751 (ISBN13: 9780824760755). Written at about a decade and a half after John Nash's embedding theorem, this book summarizes the first systematic effort to describe the important consequences of this major development. Yavuz Selim rated it it was amazing Sep 04, 2013. Ttgssuphamhue marked it as to-read Mar 10, 2014. Thomas Xie marked it as to-read Dec 17, 2014. Ioan Baranga marked it as to-read Nov 29, 2015. Amrinder Pal added it Mar 21, 2016.
Chen, Geometry of Submanifolds, Pure and Applied Mathematics, No. 22. Marcel Dekker, In. New York, 1973. zbMATHGoogle Scholar. Chen, Total Mean Curvature and Submanifolds of Finite Type, Series in Pure Mathematics, 1. World Scientific Publishing C. Singapore, 1984. Chen, A report on submanifolds of finite type, Soochow Journal of Mathematics 22 (1996), 117–337. Chen and S. Ishikawa, Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces, Kyushu Journal of Mathematics 52 (1998), 167–185.
Get a full overview of Pure and Applied Mathematics Book Series. Most recent Volume: C -Algebras and Their Automorphism Groups. An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised. 22, Marcel Dekker, New York, 1973. Soc. 13 (1976), 1−14. 11. K. Yano and M. Kon, Anti-invariant Submanifolds, Pure and Applied Mathematics, No. 21, Marcel Dekker In. New York, 1976. Keywords: anti-invariant submanifolds, Sasakian manifolds, totally umbilical submanifolds.
Treatment (Ams/Ip Studies in Advanced Mathematics) Cambridge International AS and A Level Business.