Weierstrass Relation for a Submanifold $S^k$ in $\EE^n$ Coming from Submanifold Dirac Operator

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Using the submanifold quantum mechanical scheme, the restricted Dirac operator in a submanifold is defined. Then it is shown that the zero mode of the Dirac operator expresses the local properties of the submanifold, such as the Frenet-Serret and generalized Weierstrass relations. In other words this article gives a representation of a further generalized Weierstrass relations for a general k-spin manifolds immersed in n-dimensional euclidean space (0<k<n).
AMS-Tex Use 32 pages. to appear in Advanced Studies in Pure Mathematics

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Differential Geometry, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/60684

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101020
 http://arxiv.org/abs/math/0101020

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arXiv