Results 11 to 20 of about 1,270 (170)

Almost-complex invariants of families of six-dimensional solvmanifolds

Complex Manifolds, 2022
We compute almost-complex invariants h∂¯p,oh_{\bar \partial }^{p,o}, hDolp,oh_{Dol}^{p,o} and almost-Hermitian invariants hδ¯p,oh_{\bar \delta }^{p,o} on families of almost-Kähler and almost-Hermitian 6-dimensional solvmanifolds.
Tardini Nicoletta, Tomassini Adriano
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Biharmonic almost complex structures

Forum of Mathematics, Sigma, 2023
This project uses methods in geometric analysis to study almost complex manifolds. We introduce the notion of biharmonic almost complex structure on a compact almost Hermitian manifold and study its regularity and existence in dimension four.
Weiyong He
doaj   +1 more source

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

Geodesics on spaces of almost hermitian structures [PDF]

Israel Journal of Mathematics, 1994
A natural metric on the space of all almost hermitian structures on a given manifold is investigated.
Gil-Medrano, Olga, Michor, Peter W.
openaire   +3 more sources

Geometry of Harmonic Nearly Trans-Sasakian Manifolds

Axioms, 2023
This paper considers a class of nearly trans-Sasakian manifolds. The local structure of nearly trans-Sasakian structures with a closed contact form and a closed Lee form is obtained.
Aligadzhi R. Rustanov
doaj   +1 more source

On Kähler-like and G-Kähler-like almost Hermitian manifolds

Complex Manifolds, 2020
We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
doaj   +1 more source

Contact-Complex Riemannian Submersions

Mathematics, 2021
A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan, Şemsi Eken Meriç, Erol Kılıç   +2 more
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Invariance of some classes of almost Hermitian structures concerning to the one-parameter group of diffeomorphisms generated by the Lie vector field

Дифференциальная геометрия многообразий фигур, 2022
Finding the conditions for the invariance of geometric objects under the action of transformation groups is one of the main objects of geomet­ric research.
S.V. Khokhlov, L.A. Ignatochkina
doaj   +1 more source

On a property of W4 -manifolds

Дифференциальная геометрия многообразий фигур, 2020
The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
doaj   +1 more source

Almost Hermitian homogeneous structures [PDF]

Proceedings of the Edinburgh Mathematical Society, 1988
Let (M, g, J) be an almost Hermitian manifold. More precisely, M is a ∞ differentiable manifold of dimension 2n, J is an almost complex structure on M, i.e. it is a tensor field of type (1, 1) such thatfor any X∈(M), ((M) is the Lie algebra of ∞ vector fields on M), and g is a Riemannian metric compatible with J, i.e.
Abbena, Elsa, Garbiero, Sergio
openaire   +1 more source