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"The notion of curvature played a basic role in the development of geometry since the XIX century with the initial work of many mathematicians, among them Gauss and Riemann. Even though the..."
Materias: “...Matemáticas...”
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"When studying the geometric properties of a semi–Riemannian manifold, the starting point usually comes from some invariants of the metric structure. Among those invariants, the curvature tensor..."
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"In order to study Riemannian manifolds, certain geometrical objects naturally associated to the structure of the manifold (M; g) itself are broadly used. As an instance of such geometrical objects,..."
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"In analysis, mostly the existence of a nontrivial solution to a differential equation on a certain domain is argued. But in geometry, one can also argue the existence of a manifold structure for a..."
Materias: “...Matemáticas...”