6533b823fe1ef96bd127f40a

RESEARCH PRODUCT

Unit Vector Fields that are Critical Points of the Volume and of the Energy: Characterization and Examples

Olga Gil-medrano

subject

Energy characterizationUnit vectorMathematical analysisMathematics::Metric GeometryVector fieldRiemannian manifoldMathematicsVolume (compression)

description

In the last few years, many works have appeared containing examples and general results on harmonicity and minimality of vector fields in different geometrical situations. This survey will be devoted to describe many of the known examples, as well as the general results from where they are obtained.

https://doi.org/10.1007/0-8176-4424-5_12