Results 31 to 40 of about 14,803 (150)
Picard number, holomorphic sectional curvature, and ampleness [PDF]
Proceedings of the American Mathematical Society, 2011 We prove that for a projective manifold with Picard number equal to one, if the manifold admits a Kähler metric whose holomorphic sectional curvature is quasi-negative, then the canonical bundle of the manifold is ample.
Wong, Pit-Mann +2 more
openaire +2 more sources
HERMITIAN SURFACES OF CONSTANT HOLOMORPHIC SECTIONAL CURVATURE II
Tamkang Journal of Mathematics, 1990 The present paper ss a continuation of our previous work [7]. We shall prove that a compact Hernutian surface of pointwise positive constant holomorphic sectional curvature is biholomorphica.lly equivalent to a complex projective surface.
Sekigawa, Kouei, Sato, Takuji
openaire +3 more sources
Characterizations of real hypersurfaces of a complex hyperbolic space in terms of Ricci tensor and holomorphic distribution [PDF]
, 1994 Let CPn and CHn denote the complex projective n-space with constant holomorphic sectional curvature 4, and the complex hyperboric n-space with constant holomorphic sectional curvature -4, respectively. Let M be a real hypersurface of CPn or CHn, ..
Taniguchi Tadashi
core +1 more source
Hirzebruch manifolds and positive holomorphic sectional curvature [PDF]
Annales de l'Institut Fourier, 2019 This paper is the first step in a systematic project to study examples of Kähler manifolds with positive holomorphic sectional curvature (H>0). Hitchin proved that any compact Kähler surface with H>0 must be rational and he constructed such examples on Hirzebruch surfaces M 2,k =ℙ(H k ⊕1 ℂℙ 1 ).
Yang, Bo, Zheng, Fangyang
openaire +2 more sources
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
core +1 more source
A Kähler Einstein structure on the tangent bundle of a space form
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant.
Vasile Oproiu
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source