We study the rational surfaces of revolution in Minkowski 3-space and characterize them with pointwise 1-type Gauss map. In this article, we give a complete classification of rational surfaces of revolution in Minkowski 3-space with pointwise 1-type Gauss map and provide new examples of cones in Minkowski 3-space.
Abstract. Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied. Among them, homogeneous real hypersurfaces of type (A) in a complex projective or hyperbolic space are characterized as those whose structure Jacobi operator commutes with the shape operator.
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