Results 1 to 10 of about 4,520 (139)
Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]
J Geom Anal, 2019 In this paper, we get an inequality in terms of holomorphic sectional curvature of complex Finsler metrics. As applications, we prove a Schwarz Lemma from a complete Riemannian manifold to a complex Finsler manifold.
Wan X.
europepmc +7 more sources
A Liouville Property of Holomorphic Maps [PDF]
The Scientific World Journal, 2013 We prove a Liouville property of holomorphic maps from a complete Kähler manifold with nonnegative holomorphic bisectional curvature to a complete simply connected Kähler manifold with a certain assumption on the sectional curvature.
Chengjie Yu
doaj +2 more sources
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
doaj +3 more sources
On the boundary behavior of the holomorphic sectional curvature of the Bergman metric [PDF]
Le Matematiche, 2006 We obtain a conceptually new differential geometric proof of P. F. Klembeck’s result (cf. [9]) that the holomorphic sectional curvature k g (z ) of the Bergman metric of a strictly pseudoconvex domain Ω ⊂ ℂ n approaches −4/(n + 1 ...
Elisabetta Barletta
doaj +4 more sources
Curvature Identities for Generalized Kenmotsu Manifolds [PDF]
E3S Web of Conferences, 2021 In the present paper we obtained 2 identities, which are satisfied by Riemann curvature tensor of generalized Kenmotsu manifolds. There was obtained an analytic expression for third structure tensor or tensor of f-holomorphic sectional curvature of GK ...
Ahmad Abu-Saleem +2 more
doaj +1 more source
K- constant type Kahler and Nearly Kahler manifolds for conharmonic curvature tensor
Tikrit Journal of Pure Science, 2023 The constant of permanence conharmonic type kahler and nearly kahler manifold conditions are obtained when the Nearly Kahler manifold is a manifold conharmonic constant type (K).
Ali A. Shihab, Rana H. jasim
doaj +1 more source
Norden Golden Manifolds with Constant Sectional Curvature and Their Submanifolds
Mathematics, 2023 This paper discusses the Norden golden manifold having a constant sectional curvature. First, it is shown that if a Norden golden manifold has a constant real sectional curvature, the manifold is flat.
Fulya Şahin +2 more
doaj +1 more source
On Bochner Flat Kähler B-Manifolds
Axioms, 2023 We obtain on a Kähler B-manifold (i.e., a Kähler manifold with a Norden metric) some corresponding results from the Kählerian and para-Kählerian context concerning the Bochner curvature. We prove that such a manifold is of constant totally real sectional
Cornelia-Livia Bejan +2 more
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source