Results 51 to 60 of about 384,280 (237)
On Non‐Compact Extended Bach Solitons
Mathematische Nachrichten, EarlyView.ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley +1 more source
AxiomsIn this paper, we examine torse-forming vector fields to characterize extrinsic spheres (that is, totally umbilical hypersurfaces with nonzero constant mean curvatures) in Riemannian and Lorentzian manifolds.
Norah Alshehri, Mohammed Guediri
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Seiberg-Witten Equations on Pseudo-Riemannian Spinc Manifolds With Neutral Signature
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Pseudo-Riemannian spinc manifolds were introduced by Ikemakhen in [7]. In the present work we consider pseudo-Riemannian 4-manifolds with neutral signature whose structure groups are SO+(2; 2).
Değirmenci Nedim, Karapazar Şenay
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On Jacobi-Type Vector Fields on Riemannian Manifolds
Mathematics, 2019 In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen +2 more
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Rectifying submanifolds of Riemannian manifolds and torqued vector fields
, 2017 Recently, the author defined and classified rectifying submanifolds in Euclidean spaces in [12]; extending his earlier work on rectifying curves in Euclidean 3-space done in [6].
Bang‐Yen Chen
semanticscholar +1 more source
Blocking light in compact Riemannian manifolds
, 2006 We study compact Riemannian manifolds for which the light between any pair of points is blocked by finitely many point shades. Compact flat Riemannian manifolds are known to have this finite blocking property.
Benjamin Schmidt +12 more
core +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao +3 more
wiley +1 more source
Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds
Journal of Function Spaces and Applications, 2013 We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
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Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds
Mathematics, 2023 Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
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Curvature homogeneous riemannian manifolds [PDF]
Annales scientifiques de l'École normale supérieure, 1989 The authors consider a Riemannian manifold \((M,g)\) with the same curvature tensor (at each point \(m\in M)\) as a Riemannian symmetric ``model space'' \((M^ 0,g^ 0)\), and they prove the following theorem: If the nullity distribution of the curvature tensor of \((M,g)\) is parallel, then \((M,g)\) is locally symmetric and locally isometric to \((M^ 0,
Tricerri, Franco, Vanhecke, Lieven
openaire +2 more sources