A note on rigidity of Einstein four-manifolds with positive sectional curvature
Sign Up to like & getrecommendations! Published in 2020 at "manuscripta mathematica"
DOI: 10.1007/s00229-020-01217-y
Abstract: In this paper, we first prove a topological obstruction for a four-dimensional manifold carrying an Einstein metric. More precisely, assume ( M , g ) is a closed Einstein four-manifold with $$Ric=\rho g$$ R i… read more here.
Keywords: einstein four; sectional curvature; positive sectional; four manifolds ... See more keywords
Minkowski identities for hypersurfaces in constant sectional curvature manifolds
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DOI: 10.1016/j.difgeo.2019.101561
Abstract: Abstract We give a new proof of the generalized Minkowski identities relating the higher degree mean curvatures of orientable closed hypersurfaces immersed in a given constant sectional curvature manifold. Our methods rely on a fundamental… read more here.
Keywords: identities hypersurfaces; sectional curvature; constant sectional; geometry ... See more keywords
Some characterization theorems on holomorphic sectional curvature of GCR-lightlike submanifolds
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887817500347
Abstract: We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Sasakian manifold and obtain... read more here.
Keywords: gcr lightlike; sectional curvature; holomorphic sectional; curvature gcr ... See more keywords