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Aplicaciones biarmónicas: nuevos ejemplos
- Autor/a
- Sixto Neira, Marta
The objective of this work fits in the study of smooth maps between pseudo-Riemannian manifolds from a geometrical point of view. As a generalization of isometries, harmonic maps have important applications when considering some geometrical or topological questions. Recently, attention has been paid to the study the biharmonic maps, which play an important role in some aspects of submanifold theory.Once a mathematical structure is introduced, the construction of nontrivial examples is an important aspect, so herein we have focused on the construction of new examples of biharmonic maps that, in the generic situation, are not harmonic. We have studied various types of applications between tangent and cotangent bundles (the tangent map of an application, tensor fields of type (1; 1), evaluation maps and the musical isomorphisms), for which it was necessary to consider different types of pseudo-Riemannian metrics in such spaces.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Publication Year
- 2018
- Serie
- 131b Publicaciones del Departamento de Geometría y Topología
- Availability
- Si
The objective of this work fits in the study of smooth maps between pseudo-Riemannian manifolds from a geometrical point of view. As a generalization of isometries, harmonic maps have important applications when considering some geometrical or topological questions. Recently, attention has been paid to the study the biharmonic maps, which play an important role in some aspects of submanifold theory.Once a mathematical structure is introduced, the construction of nontrivial examples is an important aspect, so herein we have focused on the construction of new examples of biharmonic maps that, in the generic situation, are not harmonic. We have studied various types of applications between tangent and cotange