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Title: Energy of radial vector fields on compact rank one symmetric spaces
Authors: Boeckx, Eric ×
Gonzalez-Davila, JC
Vanhecke, Lieven #
Issue Date: 2003
Publisher: Kluwer academic publ
Series Title: Annals of global analysis and geometry vol:23 issue:1 pages:29-52
Abstract: We consider the energy (or the total bending) of unit vector fields on compact Riemannian manifolds for which the set of its singularities consists of a finite number of isolated points and a finite number of pairwise disjoint closed submanifolds. We determine lower bounds for the energy of such vector fields on general compact Riemannian manifolds and in particular on compact rank one symmetric spaces. For this last class of spaces, we compute explicit expressions for the total bending when the unit vector field is the gradient field of the distance function to a point or to special totally geodesic submanifolds (i.e., for radial unit vector fields around this point or these submanifolds).
ISSN: 0232-704X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Geometry Section
Mathematics - miscellaneous
× corresponding author
# (joint) last author

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