Results 31 to 40 of about 435 (85)

Locally conformal symplectic manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 521-536, 1985., 1985
A locally conformal symplectic (l. c. s.) manifold is a pair (M2n, Ω) where M2n(n > 1) is a connected differentiable manifold, and Ω a nondegenerate 2‐form on M such that (Uα‐ open subsets). , σα : Uα → ℝ, dΩα = 0. Equivalently, dΩ = ω∧Ω for some closed 1‐form ω. L. c. s.
Izu Vaisman
wiley   +1 more source

A new class of non-Kähler metrics

Complex Manifolds
We study the stability at blow-ups and deformations of a class of Hermitian metrics whose fundamental two-form ω\omega satisfies the condition ∂∂¯ωk=0\partial \bar{\partial }{\omega }^{k}=0, for any kk between 1 and n−1n-1 (where nn is the complex ...
Ciulică Cristian
doaj   +1 more source

On the structure vector field of a real hypersurface in complex quadric

Open Mathematics, 2018
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
doaj   +1 more source

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
doaj   +1 more source

An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds

Complex Manifolds, 2022
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

Prolongations of F‐structure to the tangent bundle of order 2

, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 201-204, 1993.
Lovejoy S. Das
wiley   +1 more source

On Almost Generalized Weakly Symmetric LP-Sasakian Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
The purpose of this paper is to introduce the notions of an almost generalized weakly symmetric LP-Sasakian manifolds and an almost generalized weakly Ricci-symmetric LP-Sasakian manifolds.
Baishya Kanak Kanti, Chowdhury Partha Roy   +1 more
doaj   +1 more source

Canonical submersions in nearly Kähler geometry

Complex Manifolds
We explore submersions introduced by reducible holonomy representations of connections with parallel skew torsion. A submersion theorem extending previous, less general, results is given. As our main application, we show that parallel 3-(α,δ)\left(\alpha
Stecker Leander
doaj   +1 more source

Pseudo-holomorphic curves: A very quick overview

Complex Manifolds, 2020
This is a review article on pseudo-holomorphic curves which attempts at touching all the main analytical results. The goal is to make a user friendly introduction which is accessible to those without an analytical background.
Oliveira Gonçalo
doaj   +1 more source

Classification of contact structures associated with the CR-structure of the complex indicatrix

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure.
Popovici Elena
doaj   +1 more source