MINIMAL-SURFACES IN RIEMANNIAN-MANIFOLDS

Authors
JI M WANG GY
Citation
M. Ji et Gy. Wang, MINIMAL-SURFACES IN RIEMANNIAN-MANIFOLDS, Memoirs of the American Mathematical Society, 104(495), 1993, pp. 6-50
Citations number
21
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Memoirs of the American Mathematical Society → ACNP
ISSN journal
00659266
Volume
104
Issue
495
Year of publication
1993
Pages
6 - 50
Database
ISI
SICI code
0065-9266(1993)104:495<6:MIR>2.0.ZU;2-1
Abstract
A mulitiple solution theory to the Plateau problem in a Riemannian man ifold is established. In S(n), the existence of two solutions to this problem is obtained. The Morse-Tompkins-Shiffman Theorem is extended t o the case when the ambient space admits no minimal sphere.