Results 1 to 10 of about 56 (50)

Transverse Kähler holonomy in Sasaki Geometry and S-Stability

open access: yesComplex Manifolds, 2021
We study the transverse Kähler holonomy groups on Sasaki manifolds (M, S) and their stability properties under transverse holomorphic deformations of the characteristic foliation by the Reeb vector field. In particular, we prove that when the first Betti
Boyer Charles P.   +2 more
doaj   +1 more source

On Degenerate 3-(α, δ)-Sasakian Manifolds

open access: yesComplex Manifolds, 2022
We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver   +2 more
doaj   +1 more source

Basic inequalities for statistical submanifolds in Golden-like statistical manifolds

open access: yesOpen Mathematics, 2022
In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem   +3 more
doaj   +1 more source

Almost Kenmotsu 3-h-manifolds with transversely Killing-type Ricci operators

open access: yesOpen Mathematics, 2020
In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ3(−1){{\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed ...
Pan Quanxiang, Wu Hui, Wang Yajie
doaj   +1 more source

Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

open access: yesOpen Mathematics, 2022
We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin   +3 more
doaj   +1 more source

The classification of left-invariant para-Kähler structures on simply connected four-dimensional Lie groups

open access: yesComplex Manifolds, 2022
We give a complete classification of left invariant para-Kähler structures on four-dimensional simply connected Lie groups up to an automorphism. As an application we discuss some curvatures properties of the canonical connection associated to these ...
Mansouri M. W., Oufkou A.
doaj   +1 more source

Toric extremal Kähler-Ricci solitons are Kähler-Einstein

open access: yesComplex Manifolds, 2017
In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature ...
Calamai Simone, Petrecca David
doaj   +1 more source

Ricci ϕ-invariance on almost cosymplectic three-manifolds

open access: yesOpen Mathematics, 2023
Let M3{M}^{3} be a strictly almost cosymplectic three-manifold whose Ricci operator is weakly ϕ\phi -invariant. In this article, it is proved that Ricci curvatures of M3{M}^{3} are invariant along the Reeb flow if and only if M3{M}^{3} is locally ...
Pan Quanxiang
doaj   +1 more source

On submersion and immersion submanifolds of a quaternionic projective space

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
We study submanifolds of a quaternionic projective space, it is of great interest how to pull down some formulae deduced for submanifolds of a sphere to those for submanifolds of a quaternionic projective space.
Abedi Esmail, Nazari Zahra
doaj   +1 more source

Uniform K-stability of polarized spherical varieties [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2023
We express notions of K-stability of polarized spherical varieties in terms of combinatorial data, vastly generalizing the case of toric varieties.
Thibaut Delcroix
doaj   +1 more source

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