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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...
"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...
"The aim of this work is to study the Dirac operator on the Berger manifold B7 and to study a special class of spinors, the Killing spinors. More precisely, our purpose in this work is to make a..."
Materias: ...Matemáticas...
"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..."
Materias: ...Matemáticas...
"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..."
Materias: ...Matemáticas...
"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,..."
Materias: ...Matemáticas...
"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,..."
Materias: ...Matemáticas...
"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...
"As a Riemannian invariant, the curvature and its derivatives are the most natural algebraic invariants which stem from the connection. Therefore, this suggests that the curvature encodes a lot of..."
Materias: ...Matemáticas...
"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...
"The investigation of rigidity phenomena is a central and broad topic in pseudo-Riemannian geometry. Rigidity results may appear at the metric level, like splitting theorems, or at the topological..."
Materias: ...Matemáticas...
"Un problema central en geometría diferencial es el de relacionar propiedades algebraicas del tensor de curvatura con la geometría subyacente de la variedad. Teniendo en cuenta que el tensor de..."
Materias: ...Matemáticas...