Results 1 to 10 of about 2,123 (99)

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

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

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

Geometric classifications of k-almost Ricci solitons admitting paracontact metrices

open access: yesOpen Mathematics, 2023
The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin   +4 more
doaj   +1 more source

Some results and examples of the biharmonic maps with potential

open access: yesArab Journal of Mathematical Sciences, 2018
In this paper, we will study the class of biharmonic maps with potential, in the particular case represented by conformal maps between equidimensional manifolds. Some examples are constructed in particular cases (Euclidean space and sphere).
Abdelkader Zagane, Seddik Ouakkas
doaj   +1 more source

A note on Concircular Structure space-times [PDF]

open access: yes, 2018
In this note we show that Lorentzian Concircular Structure manifolds (LCS)_n coincide with Generalized Robertson-Walker space-times.Comment: 2 ...
Mantica, Carlo Alberto   +1 more
core   +2 more sources

The Ricci iteration and its applications [PDF]

open access: yes, 2007
In this Note we introduce and study dynamical systems related to the Ricci operator on the space of Kahler metrics as discretizations of certain geometric flows.
Rubinstein, Yanir A.
core   +3 more sources

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

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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