Dupin Hypersurfaces in Lorentzian Space forms
Differential Geometry
2015-11-25 v1
Abstract
Similar to the definition of Dupin hypersurface in Riemannian space forms, we define the spacelike Dupin hypersurface in Lorentzian space forms. As conformal invariant objects, spacelike Dupin hypersurfaces are studied in this paper using the framework of conformal geometry. Further we classify the spacelike Dupin hypersurfaces with constant M\"{o}bius curvatures, which are the partition ratio of the principal curvatures of the spacelike Dupin hypersurface.
Keywords
Cite
@article{arxiv.1511.07621,
title = {Dupin Hypersurfaces in Lorentzian Space forms},
author = {Tongzhu Li and Changxiong Nie},
journal= {arXiv preprint arXiv:1511.07621},
year = {2015}
}
Comments
All comments are welcome. arXiv admin note: text overlap with arXiv:1503.02914