A class of metrics on tangent bundles of pseudo-Riemannian manifolds

H. M. Dida; A. Ikemakhen

Displaying similar documents to “A class of metrics on tangent bundles of pseudo-Riemannian manifolds”

On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity

Uday Chand De, Avik De (2012)

Czechoslovak Mathematical Journal

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The object of the present paper is to study almost pseudo-conformally symmetric Ricci-recurrent manifolds. The existence of almost pseudo-conformally symmetric Ricci-recurrent manifolds has been proved by an explicit example. Some geometric properties have been studied. Among others we prove that in such a manifold the vector field $ρ$ corresponding to the 1-form of recurrence is irrotational and the integral curves of the vector field $ρ$ are geodesic. We also study some global properties...

A pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold.

Eni, Cristian (2008)

Balkan Journal of Geometry and its Applications (BJGA)

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A Ricci flat pseudo-Riemannian metric on the tangent bundle of a Riemannian manifold

Neculai Papaghiuc (2001)

Colloquium Mathematicae

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We consider a certain pseudo-Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g) and obtain necessary and sufficient conditions for the pseudo-Riemannian manifold (TM,G) to be Ricci flat (see Theorem 2).

Natural intrinsic geometrical symmetries.

Haesen, Stefan, Verstraelen, Leopold (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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On the geometry of frame bundles

Kamil Niedziałomski (2012)

Archivum Mathematicum

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Let $(M, g)$ be a Riemannian manifold, $L (M)$ its frame bundle. We construct new examples of Riemannian metrics, which are obtained from Riemannian metrics on the tangent bundle $T M$ . We compute the Levi–Civita connection and curvatures of these metrics.

Pseudo projectively flat manifolds satisfying certain condition on the Ricci tensor.

Das, Bandana, Bhattacharyya, Arindam (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

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High-order angles in almost-Riemannian geometry

Ugo Boscain, Mario Sigalotti (2006-2007)

Séminaire de théorie spectrale et géométrie

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Let $X$ and $Y$ be two smooth vector fields on a two-dimensional manifold $M$ . If $X$ and $Y$ are everywhere linearly independent, then they define a Riemannian metric on $M$ (the metric for which they are orthonormal) and they give to $M$ the structure of metric space. If $X$ and $Y$ become linearly dependent somewhere on $M$ , then the corresponding Riemannian metric has singularities, but under generic conditions the metric structure is still well defined. Metric structures that can be defined locally...