A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds | Zendy

Peihe Wang | Zendy; Ying Li | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds

Author(s) -

Peihe Wang,

Ying Li

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/237418

Subject(s) - mathematics , geodesic , eigenvalues and eigenvectors , curvature , laplace operator , mathematical analysis , constant (computer programming) , sectional curvature , upper and lower bounds , sobolev space , ricci curvature , pure mathematics , ricci flat manifold , scalar curvature , geometry , physics , quantum mechanics , computer science , programming language

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research