Minimal surfaces, stratified multivarifolds, and the Plateau problem

所蔵情報QRコード

Minimal surfaces, stratified multivarifolds, and the Plateau problem / Đào Trọng Thi, A.T. Fomenko

資料種別:

図書

出版情報:

Providence, R.I. : American Mathematical Society, c1991

形態:

ix, 404 p. ; 24 cm

シリーズ名:

Translations of mathematical monographs ; v. 84 <BA00080309>

著者名:

ISBN:

9780821845363 [0821845365]

書誌ID:

BA12057982

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Минимальные поверхности и проблема плато
Minimalʹnye poverkhnosti i problema Plato

注記:

Originally publised: Moscow : Nauka , 1987
"Translated from the Russian by E.J.F. Primrose, Translation edited by Ben Silver" -- T.p. verso
Includes bibliographical references and index

主題:

Plateau's problem; Surfaces, Minimal

言語:

英語

目次情報:

Historical survey and Introduction to the classical theory of minimal surfaces

Information about some topological facts used in the modern theory of minimal surfaces

The modern state of the theory of minimal surfaces

The multidimensional Plateau problem in the spectral class of all manifolds with a fixed boundary Multidimensional minimal surfaces and harmonic maps

Multidimensional variational problems and multivarifolds

The solution of Plateau's problem in the homotopy class of a map of a multivarifold

The space of multivarifolds

Parametrizations and parametrized multivarifolds

Problems of minimizing generalized integrands in classes of parametrizations and parametrized multivarifolds.

A criterion for global minimality

Criteria for global minimality

Globally minimal surfaces in regular orbits of the adjoint representation of the classical Lie groups

Historical survey and Introduction to the classical theory of minimal surfaces

Information about some topological facts used in the modern theory of minimal surfaces

The modern state of the theory of minimal surfaces

The multidimensional Plateau problem in the spectral class of all manifolds with a fixed boundary Multidimensional minimal surfaces and harmonic maps

Multidimensional variational problems and multivarifolds

The solution of Plateau's problem in the homotopy class of a map of a multivarifold

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Minimal surfaces Fomenko, Anatoliĭ Timofeevich American Mathematical Society	7 図書 On the problem of Plateau ; Subharmonic functions (: [gw] ; : [us]) Radó, Tibor, 1895- Springer-Verlag
2 図書 Elements of the geometry and topology of minimal surfaces in three-dimensional space Fomenko, Anatoliĭ Timofeevich, Tuzhilin, A. A. American Mathematical Society	8 図書 Complete and compact minimal surfaces Yang, Kichoon Kluwer Academic Publishers
3 図書 Variational principles of topology : multidimensional minimal surface theory Fomenko, Anatoliǐ Timofeevich Kluwer Academic	9 図書 A survey of minimal surfaces Osserman, Robert Van Nostrand Reinhold
4 図書 Plateau's problem : an invitation to varifold geometry Almgren, Frederick J. W.A. Benjamin, Inc.	10 図書 A survey of minimal surfaces (: pbk ; : hbk) Osserman, Robert Dover Publications
5 図書 Plateau's problem : an invitation to varifold geometry Almgren, Frederick J. AMS	11 図書 Integrable geodesic flows on two-dimensional surfaces Bolsinov, A. V. (Alekseĭ Viktorovich), Fomenko, Anatoliĭ Timofeevich Consultants Bureau
6 図書 Variational problems in topology : the geometry of length, area and volume Fomenko, Anatoliĭ Timofeevich Gordon and Breach Science Publishers	12 図書 Differential geometry and topology Fomenko, Anatoliĭ Timofeevich Consultants Bureau