On the Riemannian curvature tensor of a real hypersurface in a complex projective space |
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Authors: | Juan de Dios Pérez |
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Affiliation: | Departamento de Geometria y Topologia, Universidad de Granada, Granada, Spain |
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Abstract: | We consider real hypersurfaces M in complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections and classify them when the covariant derivatives associated with both connections, either in the direction of the structure vector field or any direction of the maximal holomorphic distribution, coincide when applying to the Riemannian curvature tensor of the real hypersurface. |
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Keywords: | g‐Tanaka‐Webster connection complex projective space real hypersurface Riemannian curvature tensor 53B25 53C15 |
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