Results 11 to 20 of about 15,601 (190)

Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let (M, g, ∇) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection ∇ with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h,
Aktaş Buşra, Gezer Aydin, Durmaz Olgun
doaj   +2 more sources

Bott–Chern Laplacian on almost Hermitian manifolds [PDF]

Mathematische Zeitschrift, 2021
Let (M,J,g,ω)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(M,J,g ...
Riccardo Piovani, A. Tomassini
semanticscholar   +9 more sources

On the type constancy of some six-dimensional planar submanifolds of Cayley algebra

Дифференциальная геометрия многообразий фигур, 2023
The notion of type constancy was introduced by Alfred Gray for nearly Kählerian manifolds and later generalized by Vadim F. Kirichenko and Irina V. Tret’yakova for all Gray — Hervella classes of almost Her­mitian manifolds.
G. A. Banaru
doaj   +1 more source

Three circle theorem on almost Hermitian manifolds and applications [PDF]

Calculus of Variations and Partial Differential Equations, 2021
In this paper, we extend Gang Liu’s three circle theorem for Kähler manifolds to almost Hermitian manifolds. As applications of the three circle theorem, we obtain sharp dimension estimates for spaces of holomorphic functions of polynomial growth and ...
Chengjie Yu, Chuangyuan Zhang
semanticscholar   +1 more source

On $L_2$-cohomology of almost Hermitian manifolds [PDF]

Journal of Symplectic Geometry, 2019
Let $(X,J,ω,g)$ be a complete $n$-dimensional Kähler manifold. A Theorem by Gromov \cite{G} states that the if the Kähler form is $d$-bounded, then the space of harmonic $L_2$ forms of degree $k$ is trivial, unless $k=\frac{n}{2}$. Starting with a contact manifold $(M,α)$ we show that the same conclusion does not hold in the category of almost Kähler ...
Hind R., Tomassini A.
openaire   +3 more sources

Curvature of special almost Hermitian manifolds [PDF]

Pacific Journal of Mathematics, 2006
We study the curvature of almost Hermitian manifolds and their special analogues via intrinsic torsion and representation theory. By deriving different forumlae for the skew-symmetric part of the star-Ricci curvature, we find that some of these contributions are dependent on the approach used, and for the almost Hermitian case we obtain tables that ...
Martín, Francisco Cabrera, Swann, Andrew   +1 more
openaire   +4 more sources

On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom

Дифференциальная геометрия многообразий фигур, 2021
It is known that an almost contact metric structure is induced on an arbitrary hypersurface of an almost Hermitian manifold. The case when the almost Hermitian manifold is nearly Kählerian and the almost contact metric structure on its hypersurface is ...
G.A. Banaru
doaj   +1 more source

Pointwise semi-slant Riemannian (PSSR) maps from almost Hermitian manifolds

Filomat, 2023
In this paper, as a generalization of pointwise slant submanifolds [B-Y. Chen and O. J. Garay, Pointwise slant submanifolds in almost Hermitian manifolds, Turk J Math 36, (2012), 630-640.], pointwise slant submersions [J.W.Lee and B.S. ahin, Pointwise
Y. Gündüzalp, M. Akyol
semanticscholar   +1 more source

On the most important achievements of V. F. Kirichenko in Theory of differentiable manifolds

Дифференциальная геометрия многообразий фигур, 2023
We mark out the most important results obtained by outstanding Rus­sian geometer Vadim Feodorovich Kirichenko in the theory of almost Hermitian and almost contact metric manifolds.
M. B. Banaru, G. A. Banaru
doaj   +1 more source

Tamed exhaustion functions and Schwarz type lemmas for almost Hermitian manifolds [PDF]

, 2021
In this paper, we study a special exhaustion function on almost Hermitian manifolds and establish the existence result by using the Hessian comparison theorem.
Weike Yu
semanticscholar   +1 more source