Huashui Zhan
Abstract
The paper gathers some results in Riemannian manifolds,including in complete geodesics without conjugate points,the geometric struture of a manifold with nonnegative curvature,the topology of a manifold with nonnegative Ricci curvature and some properties of Busemann function etc.Also,the paper quotes some open problems.
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The paper gathers some results in Riemannian manifolds,including in complete geodesics without conjugate points,the geometric struture of a manifold with nonnegative curvature,the topology of a manifold with nonnegative Ricci curvature and some properties of Busemann function etc.Also,the paper quotes some open problems.
Key concepts: Ricci curvature, Mathematics, Geodesic, Sectional curvature, Curvature of Riemannian manifolds, Conjugate points, Manifold (fluid mechanics), Riemannian manifold