ON THE LIE DERIVATIVE OF REAL HYPERSURFACES IN CP2 AND CH2 WITH RESPECT TO THE GENERALIZED TANAKA-WEBSTER CONNECTION
ON THE LIE DERIVATIVE OF REAL HYPERSURFACES IN CP2 AND CH2 WITH RESPECT TO THE GENERALIZED TANAKA-WEBSTER CONNECTION
Konstantina Panagiotidou(Aristotle University of Thessaloniki); Juan de Dios Perez(Universidad de Granada)
52권 5호, 1621~1630쪽
초록
In this paper the notion of Lie derivative of a tensor field T of type (1,1) of real hypersurfaces in complex space forms with respect to the generalized Tanaka-Webster connection is introduced and is called generalized Tanaka-Webster Lie derivative. Furthermore, three dimensional real hypersurfaces in non-flat complex space forms whose generalized Tanaka-Webster Lie derivative of 1) shape operator, 2) structure Jacobi operator coincides with the covariant derivative of them with respect to any vector field X orthogonal to ξ are studied.
Abstract
In this paper the notion of Lie derivative of a tensor field T of type (1,1) of real hypersurfaces in complex space forms with respect to the generalized Tanaka-Webster connection is introduced and is called generalized Tanaka-Webster Lie derivative. Furthermore, three dimensional real hypersurfaces in non-flat complex space forms whose generalized Tanaka-Webster Lie derivative of 1) shape operator, 2) structure Jacobi operator coincides with the covariant derivative of them with respect to any vector field X orthogonal to ξ are studied.
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- 대한수학회
- 분류:
- 수학