First eigenvalue of Schrodinger operator of space-like hypersurfaces

Authors

  • Shu Shichang
  • Liu Sanyang

DOI:

https://doi.org/10.21914/anziamj.v51i0.1618

Keywords:

space-like hypersurface, Schrodinger operator, mean curvature, scalar curvature, first eigenvalue

Abstract

We introduce two Schrodinger operators of compact space-like hypersurfaces in a de Sitter space. If the hypersurfaces have constant mean curvature or constant scalar curvature, we obtain some spectral characterisations of totally umbilical space-like hypersurfaces by the first eigenvalue of the Schrodinger operators. References
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Published

2010-04-18

Issue

Section

Articles for Electronic Supplement