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<図書>
Total mean curvature and submanifolds of finite type

責任表示 Bang-yen Chen
シリーズ Series in pure mathematics ; v. 1
データ種別 図書
出版者 Singapore : World Scientific
出版年 c1984
本文言語 英語
大きさ xi, 352 p. ; 22 cm
概要 The purpose of this book is to introduce the reader to two interesting topics in geometry which have developed over the last fifteen years, namely, total mean curvature and submanifolds of finite type... The theory of total mean curvature is the study of the integral of the n-th power of the mean curvature of a compact n-dimensional submanifold in a Euclidean m-space and its applications to other branches of mathematics. The relation of total mean curvature to analysis, geometry and topology are discussed in detail. Motivated from these studies, the author introduces and studies submanifolds of finite type in the last chapter. Some applications of such submanifolds are also given. This book is self-contained. The author hopes that the reader will be encouraged to pursue his studies beyond the confines of the present book.
The purpose of this book is to introduce the reader to two interesting topics in geometry which have developed over the last fifteen years, namely, total mean curvature and submanifolds of finite type. The theory of total mean curvature is the study of the integral of the n-th power of the mean curvature of a compact n-dimensional submanifold in a Euclidean m-space and its applications to other branches of mathematics. The relation of total mean curvature to analysis, geometry and topology are discussed in detail. Motivated from these studies, the author introduces and studies submanifolds of finite type in the last chapter. Some applications of such submanifolds are also given. This book is self-contained. The author hopes that the reader will be encouraged to pursue his studies beyond the confines of the present book.
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所蔵情報


理系図1F 開架 068582184016144 417/C 38/1 1984

理系図3F 数理独自 068222184003930 CHEN/10/2 1984

理系図 自動書庫 068252184004567 103/CHE c1984

書誌詳細

一般注記 "Series in pure mathematics, volume 1"--Jacket
Bibliography: p. [325]-340
Includes index
著者標目 *Chen, Bang-yen
件 名 LCSH:Submanifolds
LCSH:Curvature
分 類 LCC:QA649
DC19:516.3/6
NDC8:414.7
書誌ID 1001075742
ISBN 9971966026
NCID BA0063806X
巻冊次 ISBN:9971966026
: pbk ; ISBN:9971966034
登録日 2009.09.17
更新日 2009.11.02

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