Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605744 | Differential Geometry and its Applications | 2017 | 10 Pages |
Abstract
On a real hypersurface M in a complex projective space we can consider the Levi-Civita connection and for any nonnull constant k the k-th g-Tanaka–Webster connection. Associated to g-Tanaka–Webster connection we can define a differential operator of first order. We classify real hypersurfaces such that both the Lie derivative and this differential operator, either in the direction of the structure vector field ξ or in any direction of the maximal holomorphic distribution coincide when we apply them to the structure Jacobi operator of M.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Juan de Dios Pérez,