Results 41 to 50 of about 1,038 (85)

On a k-th Gauduchon almost Hermitian manifold

open access: yesComplex Manifolds, 2022
We characterize the k-th Gauduchon condition and by applying its characterization, we reprove that a compact k-th Gauduchon, semi-Kähler manifold becomes quasi-Kähler, which tells us that in particular, a compact almost pluriclosed, semi-Kähler manifold ...
Kawamura Masaya
doaj   +1 more source

RC-positive metrics on rationally connected manifolds

open access: yesForum of Mathematics, Sigma, 2020
In this paper, we prove that if a compact Kähler manifold X has a smooth Hermitian metric $\omega $ such that $(T_X,\omega )$ is uniformly RC-positive, then X is projective and rationally connected. Conversely, we show that, if a projective
Xiaokui Yang
doaj   +1 more source

Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds

open access: yesComplex Manifolds, 2023
We study four-dimensional second Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis, the Riemannian dual of the Lee form is a Killing vector field.
Barbaro Giuseppe, Lejmi Mehdi
doaj   +1 more source

A neutral relation between metallic structure and almost quadratic {\phi}-structure

open access: yes, 2018
In this paper, metallic structure and almost quadratic metric phi-structure are studied. Based on metallic (polynomial) Riemannian manifold, Kenmotsu quadratic metric manifold, cosymplectic quadratic metric manifold are defined and gave some examples ...
Erken, İrem Küpeli   +3 more
core   +1 more source

On totally umbilical CR‐submanifolds of a Kaehler manifold

open access: yes, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 405-408, 1993.
M. A. Bashir
wiley   +1 more source

On maximal totally real embeddings

open access: yesComplex Manifolds
We consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle.
Pali Nefton
doaj   +1 more source

Real hypersurfaces of indefinite Kaehler manifolds

open access: yes, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 545-556, 1993.
A. Bejancu, K. L. Duggal
wiley   +1 more source

Kahler geometry of toric varieties and extremal metrics

open access: yes, 1997
Recently Guillemin gave an explicit combinatorial way of constructing "toric" Kahler metrics on (symplectic) toric varieties, using only data on the moment polytope. In this paper, differential geometric properties of these metrics are investigated using
Abreu, Miguel
core   +4 more sources

On the rigidity of ℂℙ2n × ℂℙ1

open access: yesComplex Manifolds
We revisit Koiso’s original examples of rigid infinitesimally deformable Einstein metrics. We show how to compute Koiso’s obstruction to the integrability of the infinitesimal deformations on CP2n×CP1{{\mathbb{CP}}}^{2n}\times {{\mathbb{CP}}}^{1} using ...
Hall Stuart James
doaj   +1 more source

LCK metrics on complex spaces with quotient singularities

open access: yes, 2019
In this article we introduce a generalization of locally conformally Kaehler metrics from complex manifolds to complex analytic spaces with singularities and study which properties of locally conformally Kaehler manifolds still hold in this new setting ...
Ionita, George-Ionut, Preda, Ovidiu
core   +1 more source

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