Results 31 to 40 of about 97 (90)

On LCK solvmanifolds with a property of Vaisman solvmanifolds

open access: yesComplex Manifolds, 2022
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 Quasistatistical F‐Connections on the Anti‐Kähler Manifolds

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
The paper focuses on investigating a specific type of quasistatistical F‐connections within the context of an anti‐Kähler manifold. Initially, the paper establishes a connection between the Riemannian connection and the specialized quasistatistical F‐connection.
Cagri Karaman   +4 more
wiley   +1 more source

On the three‐dimensional CR‐submanifolds of the six‐dimensional sphere

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 675-678, 1991., 1990
We show that the six‐dimensional sphere does not admit three‐dimensionel totally umbilical proper CR‐submanifolds.
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

Estimates for a function on almost Hermitian manifolds

open access: yesComplex Manifolds, 2021
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

A note on the l^2-norm of the second fundamental form of algebraic manifolds [PDF]

open access: yes, 2010
2000 Mathematics Subject Classification: 53C42, 53C55.Let M f → CP^n be an algebraic manifold of complex dimension d and let σf be its second fundamental form. In this paper we address the following conjecture, which is the analogue of the one stated by
LOI, ANDREA, Zedda M., Zedda, Michela
core  

Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi   +3 more
wiley   +1 more source

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

open access: yesComplex 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

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan   +3 more
wiley   +1 more source

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

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