A LOCALLY SYMMETRIC ALMOSTK AHLER EINSTEIN STRUCTURE ON THE COTANGENT BUNDLE OF A RIEMANNIAN MANIFOLD

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PEYGHAN E.; RAZAVI A.; HEYDARI A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

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Journal: AMIRKABIR Year:2007 | Volume:18 | Issue:66-D Page(s): 59-63

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Information Journal Paper

Title

A LOCALLY SYMMETRIC ALMOSTK AHLER EINSTEIN STRUCTURE ON THE COTANGENT BUNDLE OF A RIEMANNIAN MANIFOLD

Author(s)

PEYGHAN E. | RAZAVI A. | HEYDARI A. | Issue Writer Certificate

Keywords

ALMOST COMPLEX STRUCTURE

COTANGENT BUNDLE

KAHLER EINSTEIN METRIC

LOCALLY SYMMETRIC RIEMANNIAN MANIFOLD

Abstract

We introduce a Riemannin metric of diagonal type on the COTANGENT BUNDLE of a Riemannian manifold and show that T*M with this metric is locally symmetric Einstein manifold. Also, we obtain a locally symmetric Kähler Einstein structure on the COTANGENT BUNDLE of a Riemannian manifold of negative constant sectional curvature. Similar results are obtained on a tube around zero section in the COTANGENT BUNDLE, in the case of a Riemannian manifold of positive constant sectional curvature.

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APA: Copy

PEYGHAN, E., RAZAVI, A., & HEYDARI, A.. (2007). A LOCALLY SYMMETRIC ALMOSTK AHLER EINSTEIN STRUCTURE ON THE COTANGENT BUNDLE OF A RIEMANNIAN MANIFOLD. AMIRKABIR, 18(66-D), 59-63. SID. https://sid.ir/paper/546149/en

Vancouver: Copy

PEYGHAN E., RAZAVI A., HEYDARI A.. A LOCALLY SYMMETRIC ALMOSTK AHLER EINSTEIN STRUCTURE ON THE COTANGENT BUNDLE OF A RIEMANNIAN MANIFOLD. AMIRKABIR[Internet]. 2007;18(66-D):59-63. Available from: https://sid.ir/paper/546149/en

IEEE: Copy

E. PEYGHAN, A. RAZAVI, and A. HEYDARI, “A LOCALLY SYMMETRIC ALMOSTK AHLER EINSTEIN STRUCTURE ON THE COTANGENT BUNDLE OF A RIEMANNIAN MANIFOLD,” AMIRKABIR, vol. 18, no. 66-D, pp. 59–63, 2007, [Online]. Available: https://sid.ir/paper/546149/en

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