상세 보기
L-2 harmonic 1-forms on minimal submanifolds in hyperbolic space
Citations
WEB OF SCIENCE
22Citations
SCOPUS
22초록
In this paper, we prove the nonexistence of L-2 harmonic 1-forms on a complete super stable minimal submanifold M in hyperbolic space under the assumption that the first eigenvalue lambda(1) (M) for the Laplace operator on M is bounded below by (2n - 1)(n - 1). Moreover, we provide sufficient conditions for minimal submanifolds in hyperbolic space to be super stable (C) 2010 Elsevier Inc. All rights reserved
키워드
Minimal submanifolds; L-2 harmonic forms; Hyperbolic space; First eigenvalue; TOTAL SCALAR CURVATURE; EUCLIDEAN-SPACE; HYPERSURFACES; MANIFOLDS; INEQUALITIES; STABILITY; SOBOLEV; RN
- 제목
- L-2 harmonic 1-forms on minimal submanifolds in hyperbolic space
- 저자
- Seo, Keomkyo
- 발행일
- 2010-11-15
- 유형
- Article
- 권
- 371
- 호
- 2
- 페이지
- 546 ~ 551