Vanishing theorems for Killing vector fields on complete hypersurfaces in the hyperbolic space

• Autorzy: Guangyue Huang , Hongjuan Li
• Języki publikacji: EN

Abstrakty

EN

We study vanishing theorems for Killing vector fields on complete stable hypersurfaces in a hyperbolic space $ℍ^{n+1}(-1)$. We derive vanishing theorems for Killing vector fields with bounded L²-norm in terms of the bottom of the spectrum of the Laplace operator.

Kategorie tematyczne

• 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
• 58C40: Spectral theory; eigenvalue problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 145
• Numer: 1
• Strony: 99-105

Daty

wydano

2016

Twórcy

autor

Guangyue Huang

• College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P.R. China

autor

Hongjuan Li

• College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P.R. China

Identyfikatory

DOI

10.4064/cm6531-9-2015