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Geometry of harmonic maps and biharmonic maps. (English) Zbl 1325.53003

Barletta, Elisabetta (ed.), Lecture notes of Seminario Interdisciplinare di Matematica. Vol. XI. Potenza: Seminario Interdisciplinare di Matematica (S.I.M.) (ISBN 978-88-97478-03-4/pbk). Lecture Notes of Seminario Interdisciplinare di Matematica 11, 41-83 (2014).
Summary: A biharmonic map is a critical point of the bienergy in the space of \(C^\infty\) maps between two Riemannian manifolds, and it is a natural extension of a harmonic map which is a critical point of the energy. In this paper, we give a brief survey on our recent works for biharmonic maps.
For the entire collection see [Zbl 1294.00024].

MSC:

53-02 Research exposition (monographs, survey articles) pertaining to differential geometry
53C43 Differential geometric aspects of harmonic maps
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