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On the geometry of tangent bundle of Finsler manifold with Cheeger-Gromoll metric
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نویسنده
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raeia zohre
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منبع
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journal of finsler geometry and its applications - 2021 - دوره : 2 - شماره : 1 - صفحه:1 -30
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چکیده
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Let (m, f) be a finsler manifold and g be the cheeger-gromoll metric on tm inducedby f. we show that the curvature tensor field of the levi-civita connection on (tm,g) is determined by the curvature tensor field of vrãnceanu connection and some adapted tensorfields on tm. then we prove that (tm,g) is locally symmetric if and only if (m, f) is locally euclidean. also, we express the flag curvature of the finsler manifold (m, f).
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کلیدواژه
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Finsler manifold ,Cheeger-Gromoll metric ,Levi-Civita connection ,curvature tensor ,locally symmetric manifold
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آدرس
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university of mohaghegh, faculty of science, department of mathematics, Iran
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پست الکترونیکی
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raei.zohre@gmail.com
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Authors
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