A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-28
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The paper starts with a discussion involving the Sobolev constant on geodesic balls and then follows with a derivation of a lower bound for the first eigenvalue of the Laplacian on manifolds with small negative curvature.
The derivation involves Moser iteration.
American Psychological Association (APA)
Wang, Peihe& Li, Ying. 2013. A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-456245
Modern Language Association (MLA)
Wang, Peihe& Li, Ying. A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-456245
American Medical Association (AMA)
Wang, Peihe& Li, Ying. A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-456245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456245
