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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..."
...Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico...
"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..."
...Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico...
"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,..."
...Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico...
"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..."
...Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico...
"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..."
...Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico...
"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..."
...Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico...
"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..."
...Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico...
"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..."
...Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico...