Results 31 to 40 of about 57 (57)

On maximal totally real embeddings

Complex 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
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On a k-th Gauduchon almost Hermitian manifold

Complex 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
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RC-positive metrics on rationally connected manifolds

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

Complex 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
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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

Toric extremal Kähler-Ricci solitons are Kähler-Einstein

Complex Manifolds, 2017
In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature ...
Calamai Simone, Petrecca David
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Real hypersurfaces of indefinite Kaehler manifolds

, 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

Holomorphic Cartan geometries and rational curves

Complex Manifolds, 2016
We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold.
Biswas Indranil, McKay Benjamin
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Examples of solvmanifolds without LCK structures

Complex Manifolds, 2018
The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
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On the rigidity of ℂℙ2n × ℂℙ1

Complex 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
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