Some inequalities on totally real submanifolds in locally conformal Kaehler space forms [PDF]
, 2004 In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a totally real submanifold in a locally conformal Kaehler space form of constant ...
Carriazo Rubio, Alfonso +2 more
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On totally umbilical CR-submanifolds of a Kaehler manifold
International Journal of Mathematics and Mathematical Sciences, 1993 Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or ...
M. A. Bashir
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On Differential Equations Characterizing Legendrian Submanifolds of Sasakian Space Forms
Mathematics, 2020 In this paper, we give an estimate of the first eigenvalue of the Laplace operator on minimally immersed Legendrian submanifold N n in Sasakian space forms N ˜ 2 n + 1 ( ϵ ) . We prove that a minimal Legendrian submanifolds in
Rifaqat Ali +4 more
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COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE [PDF]
Glasgow Mathematical Journal, 2008 AbstractIn this paper, we prove that a strongly convex and Kähler-Finsler metric is a complex Berwald metric with zero holomorphic sectional curvature if and only if it is a complex locally Minkowski metric.
openaire +2 more sources
On the Geometry of the Kähler Golden Manifold
AxiomsThe main objective of this paper is to investigate the properties related to the sectional curvatures of a Kähler golden manifold, an almost Hermitian golden manifold whose almost complex golden structure is parallel with respect to the Levi–Civita ...
Cristina Elena Hreţcanu +1 more
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On the integrability of a K-conformal killing equation in a Kaehlerian manifold
International Journal of Mathematics and Mathematical Sciences, 1991 We show that necessary and sufficient condition in order that K- conformal Killing equation is completely integrable is that the Kaehlerian manifold K2m(m>2) is of constant holomorphic sectional curvature.
Kazuhiko Takano
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Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces
, 2015 The main result of this note is that, for each $n\in \{1,2,3,\ldots\}$, there exists a Hodge metric on the $n$-th Hirzebruch surface whose positive holomorphic sectional curvature is $\frac{1}{(1+2n)^2}$-pinched.
Alvarez, Angelynn +2 more
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On CR-submanifolds of the six-dimensional sphere
International Journal of Mathematics and Mathematical Sciences, 1995 We consider proper CR-submanifolds of the six-dimensional sphere S6. We prove that S6 does not admit compact proper CR-submanifolds with non-negative sectional curvature and integrable holomorphic distribution.
M. A. Bashir
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Constancy of 𝝓-Holomorphic Sectional Curvature for an Indefinite Generalized 𝑔⋅𝑓⋅𝑓-Space Form
Advances in Mathematical Physics, 2011 Bonome et al., 1997, provided an algebraic characterization for an indefinite Sasakian manifold to reduce to a space of constant 𝜙-holomorphic sectional curvature.
Jae Won Lee
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CR-submanifolds of a locally conformal Kaehler space form
International Journal of Mathematics and Mathematical Sciences, 1994 (Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
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