In this paper we consider the horizontal high-order curvatures of a real hypersurface in a generic Kahler manifold and we prove a rigidity result under a suitable assumption of parallelism. As an application we get a classification result for hypersurfaces in a complex space form.
HORIZONTAL CURVATURES AND CLASSIFICATION RESULTS / Guidi, C; Martino, V. - In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. - ISSN 1239-629X. - STAMPA. - 45:2(2020), pp. 829-840. [10.5186/aasfm.2020.4541]
HORIZONTAL CURVATURES AND CLASSIFICATION RESULTS
Guidi, C;Martino, V
2020
Abstract
In this paper we consider the horizontal high-order curvatures of a real hypersurface in a generic Kahler manifold and we prove a rigidity result under a suitable assumption of parallelism. As an application we get a classification result for hypersurfaces in a complex space form.File in questo prodotto:
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