Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Energy, tension and finite type maps
Bang-Yen ChenJean-Marie MorvanThérèse Nore
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1986 年 9 巻 3 号 p. 406-418

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We study the spectral geometry of smooth maps of a compact Riemannian manifold in a Euclidean space, by using the notion of order (introduced by the first author). We give some best possible estimates of energy and total tension of a map in terms of order. Some applications to closed curves and harmonic maps are then obtained. In the last section, we relate the spectral geometry of the Gauss map of a submanifold to its topology and derive some topological obstructions to submanifolds to have a Gauss map of low type.
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© Department of Mathematics, Tokyo Institute of Technology
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