SYMMETRIC CURVATURE IN LIFTING METRICS

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HEYDARI A.; BOROOJERDIAN N.; PEYGHAN E.

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Journal Paper

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Journal: AMIRKABIR Year:2006 | Volume:16 | Issue:63-E Page(s): 35-41

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Information Journal Paper

Title

SYMMETRIC CURVATURE IN LIFTING METRICS

Author(s)

HEYDARI A. | BOROOJERDIAN N. | PEYGHAN E. | Issue Writer Certificate

Keywords

ASSOCIATED SYMMETRIC CURVATURE

AFFINEWISE VECTOR FIELD

SYMMETRIC LIE BRACKET

SYMMETRIC CURVATURE

Abstract

The SYMMETRIC CURVATURE and associated curvatures of a vector bundle E with connection Ñ on a manifold M with connection Ñ were introduced. It is well-known that a total space of semi-Riemannian vector bundle over a semi-Riemannian manifold can be made into a semi-Riemannian manifold. In this case, the relation between curvatures of the Levi-Civita connections of E and M was studied. Here, the relation between SYMMETRIC CURVATUREs of the Levi-Civita connections and their associated curvatures of E and M is studied.

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APA: Copy

HEYDARI, A., BOROOJERDIAN, N., & PEYGHAN, E.. (2006). SYMMETRIC CURVATURE IN LIFTING METRICS. AMIRKABIR, 16(63-E), 35-41. SID. https://sid.ir/paper/536205/en

Vancouver: Copy

HEYDARI A., BOROOJERDIAN N., PEYGHAN E.. SYMMETRIC CURVATURE IN LIFTING METRICS. AMIRKABIR[Internet]. 2006;16(63-E):35-41. Available from: https://sid.ir/paper/536205/en

IEEE: Copy

A. HEYDARI, N. BOROOJERDIAN, and E. PEYGHAN, “SYMMETRIC CURVATURE IN LIFTING METRICS,” AMIRKABIR, vol. 16, no. 63-E, pp. 35–41, 2006, [Online]. Available: https://sid.ir/paper/536205/en

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