|
|||||
|
|
An abstract version of the Morse index theorem and its application to hypersurfaces of constant mean curvature |
|
| Authors: | Hermano Frid F Javier Thayer |
| Institution: | (1) Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil;(2) Instituto de Matemática Pura e Aplicada, IMPA, Rio de Janeiro, Brazil;(3) Present address: The Mitre Corporation, Burlington Road, box 332, 01730 Bedford, Massachucetts |
| Abstract: | In 5] Smale generalized the Morse index theorem (originally proved by Morse in 3]) to elliptic partial differential systems in several independent variables. Smale's result was used by Simons in 4] to obtain the index theorem for minimal submanifolds. The purpose of this paper is to give an abstract version of the Morse index theorem and use it to prove an index theorem for hypersurfaces of constant mean curvature. This was sugested by Barbosa and do Carmo in 1]. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |