Results 31 to 40 of about 3,925 (113)

Curvature and Solitonic Structures of Para‐Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney   +3 more
wiley   +1 more source

Construction of an A-manifold on a principal torus bundle

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013
We construct a new example of an A-manifold, i.e. a Riemannian manifold with cyclic-parallel Ricci tensor. This condition can be viewed as a generalization of the Einstein condition.
Grzegorz Zborowski
doaj  

FLRW cosmology in Weyl-Integrable Space-Time

open access: yes, 2011
We investigate the Weyl space-time extension of general relativity (GR) for studying the FLRW cosmology through focusing and defocusing of the geodesic congruences.
Dadhich, Naresh   +2 more
core   +1 more source

Rigidity for Multi-Taub-NUT metrics [PDF]

open access: yes, 2009
This paper provides a classification result for gravitational instantons with cubic volume growth and cyclic fundamental group at infinity. It proves that a complete hyperk\"ahler manifold asymptotic to a circle fibration over the Euclidean three-space ...
Minerbe, Vincent
core   +3 more sources

Conformal pure radiation with parallel rays

open access: yes, 2011
We define pure radiation metrics with parallel rays to be n-dimensional pseudo-Riemannian metrics that admit a parallel null line bundle K and whose Ricci tensor vanishes on vectors that are orthogonal to K.
Leistner, Thomas, Nurowski, Pawel
core   +1 more source

Nonnegatively curved Euclidean submanifolds in codimension two

open access: yes, 2016
We provide a classification of compact Euclidean submanifolds $M^n\subset{\mathbb{R}}^{n+2}$ with nonnegative sectional curvature, for $n\ge 3$. The classification is in terms of the induced metric (including the diffeomorphism classification of the ...
Florit, Luis A., Ziller, Wolfgang
core   +1 more source

Construction of an A-manifold on a principal torus bundle

open access: yes, 2012
We construct a new example of an A-manifold, i.e. a Riemannian manifold with a cyclic-parallel Ricci tensor, which can be viewed as a generalization of the Einstein condition.
Zborowski, Grzegorz
core   +1 more source

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