Total mean curvature and submanifolds of finite type

書誌事項

Total mean curvature and submanifolds of finite type

Bang-yen Chen

(Series in pure mathematics, v. 1)

World Scientific, c1984

  • : pbk

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注記

"Series in pure mathematics, volume 1"--Jacket

Bibliography: p. [325]-340

Includes index

内容説明・目次

内容説明

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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詳細情報

  • NII書誌ID(NCID)
    BA0063806X
  • ISBN
    • 9971966026
    • 9971966034
  • LCCN
    84203970
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    xi, 352 p.
  • 大きさ
    22 cm
  • 分類
  • 件名
  • 親書誌ID
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