Results 21 to 30 of about 14,803 (150)
Mathematics, 2020 In this paper, we prove some inequalities in terms of the normalized δ -Casorati curvatures (extrinsic invariants) and the scalar curvature (intrinsic invariant) of statistical submanifolds in holomorphic statistical manifolds with constant ...
Simona Decu +2 more
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The holomorphic sectional curvature and “convex” real hypersurfaces in Kähler manifolds [PDF]
Colloquium Mathematicum, 2020 We prove a sharp lower bound for the Tanaka-Webster holomorphic sectional curvature of strictly pseudoconvex real hypersurfaces that are "semi-isometrically" immersed in a Kahler manifold of nonnegative holomorphic sectional curvature under an ...
D. Son
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A Note on Nearly Sasakian Manifolds
Mathematics, 2023 A class of nearly Sasakian manifolds is considered in this paper. We discuss the geometric effects of some symmetries on such manifolds and show, under a certain condition, that the class of Ricci semi-symmetric nearly Sasakian manifolds is a subclass of
Fortuné Massamba, Arthur Nzunogera
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Holomorphic Bisectional Curvatures, Supersymmetry Breaking, and Affleck-Dine Baryogenesis [PDF]
, 2012 Working in $D=4, N=1$ supergravity, we utilize relations between holomorphic sectional and bisectional curvatures of Kahler manifolds to constrain Affleck-Dine baryogenesis.
Bhaskar Dutta +2 more
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Kähler manifolds of semi-negative holomorphic sectional curvature [PDF]
Journal of Differential Geometry, 2016 In an earlier work, we investigated some consequences of the existence of a K hler metric of negative holomorphic sectional curvature on a projective manifold. In the present work, we extend our results to the case of semi-negative (i.e., non-positive) holomorphic sectional curvature.
Heier, Gordon +2 more
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Holomorphic sectional curvature of quasisymmetric domains [PDF]
Proceedings of the American Mathematical Society, 1979 It is well known that the holomorphic sectional curvature of a bounded symmetric domain is bounded above by a negative constant. In this paper we show that this is true more generally for a quasi-symmetric Siegel domain, and the proof is based on a formula for the curvature from the author’s thesis. The bounded homogeneous domains are, as is well known,
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Characterization of Holomorphic Bisectional Curvature of GCR-Lightlike Submanifolds
Advances in Mathematical Physics, 2012 We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Kaehler manifold.
Sangeet Kumar +2 more
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A New Proof of a Conjecture on Nonpositive Ricci Curved Compact Kähler–Einstein Surfaces
Mathematics, 2018 In an earlier paper, we gave a proof of the conjecture of the pinching of the bisectional curvature mentioned in those two papers of Hong et al. of 1988 and 2011. Moreover, we proved that any compact Kähler–Einstein surface M is a quotient of the complex
Zhuang-Dan Daniel Guan
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On projective manifolds with semi-positive holomorphic sectional curvature [PDF]
American Journal of Mathematics, 2018 :We establish structure theorems for a smooth projective variety $X$ with semi-positive holomorphic sectional curvature. We first prove that $X$ is rationally connected if $X$ has no truly flat tangent vectors at some point (which is satisfied when the ...
Shin-ichi Matsumura
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