Results 31 to 40 of about 56 (50)

Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚn such that the shape operator A with respect to N has one eigenvalue.
Nazari Z., Abedi E.
doaj   +1 more source

SPACE OF RICCI FLOWS (II)—PART A: MODULI OF SINGULAR CALABI–YAU SPACES

open access: yesForum of Mathematics, Sigma, 2017
We establish the compactness of the moduli space of noncollapsed Calabi–Yau spaces with mild singularities. Based on this compactness result, we develop a new approach to study the weak compactness of Riemannian manifolds.
XIUXIONG CHEN, BING WANG
doaj   +1 more source

Contact metric manifolds with large automorphism group and (κ, µ)-spaces

open access: yesComplex Manifolds, 2019
We discuss the classifiation of simply connected, complete (κ, µ)-spaces from the point of view of homogeneous spaces. In particular, we exhibit new models of (κ, µ)-spaces having Boeckx invariant -1.
Lotta Antonio
doaj   +1 more source

A note on static spaces

open access: yesResults in Physics, 2021
Static perfect fluid spaces are of great interest in metric theories of gravitation, they being used in building realistic models of some compact objects, like neutron stars and white dwarfs.
Sharief Deshmukh   +2 more
doaj  

Riemannian invariants for warped product submanifolds in Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}} and their applications

open access: yesOpen Mathematics
This article investigates the geometric and topologic of warped product submanifolds in Riemannian warped product Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}}.
Li Yanlin, Alshehri Norah, Ali Akram
doaj   +1 more source

Nearly Sasakian manifolds revisited

open access: yesComplex Manifolds, 2019
We provide a new, self-contained and more conceptual proof of the result that an almost contact metric manifold of dimension greater than 5 is Sasakian if and only if it is nearly Sasakian.
Cappelletti-Montano Beniamino   +3 more
doaj   +1 more source

An Inequality on Quaternionic CR-Submanifolds

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.
Macsim Gabriel, Mihai Adela
doaj   +1 more source

*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds

open access: yesOpen Mathematics, 2019
Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
Dai Xinxin, Zhao Yan, Chand De Uday
doaj   +1 more source

Perturbation compactness and uniqueness for a class of conformally compact Einstein manifolds

open access: yesAdvanced Nonlinear Studies
In this paper, we establish compactness results for some classes of conformally compact Einstein metrics defined on manifolds of dimension d ≥ 4. In the special case when the manifold is the Euclidean ball with the unit sphere as the conformal infinity ...
Chang Sun-Yung Alice   +3 more
doaj   +1 more source

Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space

open access: yesAdvanced Nonlinear Studies, 2018
We consider the Hardy–Schrödinger operator Lγ:=-Δ𝔹n-γ⁢V2{L_{\gamma}:=-\Delta_{\mathbb{B}^{n}}-\gamma{V_{2}}} on the Poincaré ball model of the hyperbolic space 𝔹n{\mathbb{B}^{n}} (n≥3{n\geq 3}).
Chan Hardy   +4 more
doaj   +1 more source

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