Results 31 to 40 of about 1,036 (81)
Harmonic-Killing vector fields
In this paper we consider the harmonicity of the 1-parameter group of local infinitesimal transformations associated to a vector field on a (pseudo-) Riemannian manifold to study this class of vector fields, which we call harmonic-Killing vector fields ...
C. Dodson+2 more
semanticscholar +1 more source
On the integrability of a K‐conformal killing equation in a Kaehlerian manifold
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
wiley +1 more source
Kähler-Einstein metrics: Old and New
We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability).
Angella Daniele, Spotti Cristiano
doaj +1 more source
On LCK solvmanifolds with a property of Vaisman solvmanifolds
The purpose in this paper is to determine a locally conformal Kähler solvmanifold such that the nilradical of the solvable Lie group is constructed by a Heisenberg Lie group.
Sawai Hiroshi
doaj +1 more source
On the three‐dimensional CR‐submanifolds of the six‐dimensional sphere
We show that the six‐dimensional sphere does not admit three‐dimensionel totally umbilical proper CR‐submanifolds.
M. A. Bashir
wiley +1 more source
Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics.
Bazzoni Giovanni, Marrero Juan Carlos
doaj +1 more source
An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds
We investigate the Fu-Yau equation on compact almost astheno-Kähler manifolds and show an a priori C0-estiamte for a smooth solution of the equation.
Kawamura Masaya
doaj +1 more source
Locally conformally K\"ahler manifolds with holomorphic Lee field
We prove that a compact lcK manifold with holomorphic Lee vector field is Vaisman provided that either the Lee field has constant norm or the metric is Gauduchon (i.e., the Lee field is divergence-free).
Moroianu, Andrei+2 more
core +1 more source
Estimates for a function on almost Hermitian manifolds
We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.
Kawamura Masaya
doaj +1 more source
RC-positive metrics on rationally connected manifolds
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