1 Immersed Submanifold and Restricted Dirac Equations : Generalized Weierstrass Relation for a submanifold
نویسنده
چکیده
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). §
منابع مشابه
an 2 00 1 Immersed Submanifold and Restricted Dirac Equations : Generalized Weierstrass Relation for a submanifold
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-s...
متن کاملJ an 2 00 1 Immersed Submanifold and Restricted Dirac Equations : Generalized Weierstrass Relation for a submanifold
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-s...
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