Some formulas in a riemannian space

Manindra Chandra Chaki

Displaying similar documents to “Some formulas in a riemannian space”

On relations of curvature tensors over Sen's system of affine connections

Hrishikes Sen (1959)

Rendiconti del Seminario Matematico della Università di Padova

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Some characteristics of curvature tensors of nonsymmetric affine connexion.

Minčić, Svetislav M. (1999)

Novi Sad Journal of Mathematics

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On relations of curvature tensors over Sen's system of affine connections

Ranjan Kumar Garai (1971)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Dual Connections and Affine Geometry.

Takashi Kurose (1990)

Mathematische Zeitschrift

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Imbedding of a space with an affine connection in the affine space

R. Krasnodębski (1964)

Annales Polonici Mathematici

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On the connection of recurrence of metric, eigen tensors and transition of length in W-On spaces.

A. Moór, Dj.F. Nadj (1980)

Publications de l'Institut Mathématique [Elektronische Ressource]

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How many are affine connections with torsion

Zdeněk Dušek, Oldřich Kowalski (2014)

Archivum Mathematicum

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The question how many real analytic affine connections exist locally on a smooth manifold $M$ of dimension $n$ is studied. The families of general affine connections with torsion and with skew-symmetric Ricci tensor, or symmetric Ricci tensor, respectively, are described in terms of the number of arbitrary functions of $n$ variables.

Special compositions in affinely connected spaces without a torsion

Zlatanov, Georgi (2011)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 53B05, 53B99. Let AN be an affinely connected space without a torsion. With the help of N independent vector fields and their reciprocal covectors is built an affinor which defines a composition Xn ×Xm (n+m = N). The structure is integrable. New characteristics by the coefficients of the derivative equations are found for special compositions, studied in [1], [3]. Two-dimensional manifolds, named as bridges, which cut the both base...