Grigorios Tsagas
Abstract
Let (M, g) be a compact Riemannian manifold of dimension n. The aim of the present paper is to study the dimension of K q (M, R) in the connection with the Riemannian metric g on M.
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Let (M, g) be a compact Riemannian manifold of dimension n. The aim of the present paper is to study the dimension of K q (M, R) in the connection with the Riemannian metric g on M.
Key concepts: Fundamental theorem of Riemannian geometry, Pseudo-Riemannian manifold, Levi-Civita connection, Riemannian manifold, Mathematics, Statistical manifold, Exponential map (Riemannian geometry), Connection (principal bundle)