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Characterizing the complex hyperbolic space by Kähler homogeneous structures [PDF]
, 2000 8 pages.-- MSC1991 codes: Primary 53C30; Secondary 53C25, 53C55.The characterization of the complex hyperbolic space equipped with the Bergman metric of negative constant holomorphic sectional curvature, as the unique (up to holomorphic isometries ...
Gadea, Pedro M. +5 more
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On totally umbilical CR‐submanifolds of a Kaehler manifold
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 405-408, 1993.
M. A. Bashir
wiley +1 more source
On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds
Complex ManifoldsWe can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
doaj +1 more source
A Note on Rigidity of 3-Sasakian Manifolds [PDF]
, 1998 Making use of the relations among 3-Sasakian manifolds, hypercomplex manifolds and quaternionic Kahler orbifolds, we prove that complete 3-Sasakian manifolds are rigid. Keywords: Sasakian, Hypercomplex, Deformations.
Henrik Pedersen, Yat Sun Poon
core
Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet (M, g, ∇) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection ∇ with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h,
Aktaş Buşra, Gezer Aydin, Durmaz Olgun
doaj +1 more source
Homology groups in CR-warped products of complex space forms. [PDF]
HeliyonLi Y +4 more
europepmc +1 more source
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On the theory of Bott-Chern secondary characteristic classes with applications to singular metrics
Manuscripta Mathematica, 2023Mounir Hajli
exaly
Uniform approximation of holomorphic forms
Complex Variables and Elliptic Equations, 1998Sorin Dragomir
exaly
C1,1 regularity for degenerate complex Monge–Ampère equations and geodesic rays
Communications in Partial Differential Equations, 2018Jianchun Chu, Valentino Tosatti
exaly