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Real hypersurfaces of a complex projective space [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1986
We study real hypersurfaces M of a complex projective space and show that a condition on the derivative of the Ricci Tensor of M implies M is locally homogeneous with two or three principal curvatures.
openaire   +3 more sources

What Is a Simple Liquid?

open access: yesPhysical Review X, 2012
This paper is an attempt to identify the real essence of simplicity of liquids in John Locke’s understanding of the term. Simple liquids are traditionally defined as many-body systems of classical particles interacting via radially symmetric pair ...
Trond S. Ingebrigtsen   +2 more
doaj   +1 more source

Real hypersurfaces of complex projective spaces

open access: yesMathematische Annalen, 1983
Let P"(~) denote the complex projective space with Fubini-Study metric of constant holomorphic sectional curvature 4 and suppose m >2. It is well-known that there does not exist a totally umbilical real hypersurface M of P"(C) (see Tashiro and Tachibana [7]).
openaire   +3 more sources

The upper bound for the first positive eigenvalue of Sub-Laplacian on a compact strictly pseudoconvex hypersurface

open access: yesAIMS Mathematics
Let $ (M^{2n+1}, \theta) $ be a compact strictly pseudoconvex real hypersurfaces equipped with the pseudohermitian structure $ \theta $, and $ \lambda_{1} $ be the first positive eigenvalue of sub-Laplacian $ \Delta_{b} $ on $ (M^{2n+1}, \theta) $.
Guijuan Lin, Sujuan Long , Qiqi Zhang
doaj   +1 more source

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