Results 31 to 40 of about 18,204 (186)
Almost Complex and Hypercomplex Norden Structures Induced by Natural Riemann Extensions
Mathematics, 2022 The Riemann extension, introduced by E. K. Patterson and A. G. Walker, is a semi-Riemannian metric with a neutral signature on the cotangent bundle T∗M of a smooth manifold M, induced by a symmetric linear connection ∇ on M.
Cornelia-Livia Bejan, Galia Nakova
doaj +1 more source
On six-dimensional Vaisman — Gray submanifolds of the octave algebra
Дифференциальная геометрия многообразий фигур, 2019 The W1 + W4 class of almost Hermitian manifolds (in accordance with the Gray — Hervella classification) is usually named as the class of Vaisman — Gray manifolds.
M. Banaru
doaj +1 more source
Schrödinger flow into almost Hermitian manifolds [PDF]
Bulletin of the London Mathematical Society, 2012 13 pages, no figure, minor ...
openaire +2 more sources
Homogeneous almost quaternion-Hermitian manifolds [PDF]
Mathematische Annalen, 2013 An almost quaternion-Hermitian structure on a Riemannian manifold $(M^{4n},g)$ is a reduction of the structure group of $M$ to $\mathrm{Sp}(n)\mathrm{Sp}(1)\subset \mathrm{SO}(4n)$. In this paper we show that a compact simply connected homogeneous almost quaternion-Hermitian manifold of non-vanishing Euler characteristic is either a Wolf space, or ...
Moroianu, Andrei +2 more
openaire +4 more sources
Holomorphic harmonic morphisms from cosymplectic almost Hermitian manifolds [PDF]
, 2014 We study 4-dimensional Riemannian manifolds equipped with a minimal and conformal foliation $\mathcal F$ of codimension 2. We prove that the two adapted almost Hermitian structures $J_1$ and $J_2$ are both cosymplectic if and only if $\mathcal F$ is ...
Gudmundsson, Sigmundur
core +1 more source
A note about almost contact metric hypersurfaces axioms for almost Hermitian manifolds
Дифференциальная геометрия многообразий фигурFrom 1950s, it is known that an almost contact metric structure is induced on an arbitrary oriented hypersurface in an almost Hermitian manifold. In accordance with the definition, an almost Hermitian manifold satisfies the axiom of almost contact ...
A. Abu-Saleem +2 more
doaj +1 more source
On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra
Дифференциальная геометрия многообразий фигур, 2020 Six-dimensional submanifolds of Cayley algebra equipped with an almost Hermitian structure of class W1 W2 W4 defined by means of three-fold vector cross products are considered.
G. A. Banaru
doaj +1 more source
, 2010 The subject of investigations are the almost hypercomplex manifolds with Hermitian and anti-Hermitian (Norden) metrics. A linear connection D is introduced such that the structure of these manifolds is parallel with respect to D and its torsion is ...
Alekseevsky D. V. +14 more
core +1 more source
Canonical connection on a class of Riemannian almost product manifolds
, 2012 The canonical connection on a Riemannian almost product manifold is an analogue to the Hermitian connection on an almost Hermitian manifold. In this paper we consider the canonical connection on a class of Riemannian almost product manifolds with non ...
A. Gray +11 more
core +1 more source
The Weitzenböck Type Curvature Operator for Singular Distributions
Mathematics, 2020 We study geometry of a Riemannian manifold endowed with a singular (or regular) distribution, determined as an image of the tangent bundle under smooth endomorphisms.
Paul Popescu +2 more
doaj +1 more source