The geometry of tangent bundle and its applications
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In this thesis, we first give a brief summary of the Riemannian Geometry which is the extension of Euclidean Geometry. Later we introduce the Finsler Geometry and the geometry of tangent bundle. Finally we give the applications of the geometry of the tangent bundle to the physics. We find Schwarzschild-like spacetime solutions and modified red shift formula.
the geometry of tangent bundle