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Classification of real hypersurfaces in complex quadric in terms of new tensors

Classification of real hypersurfaces in complex quadric in terms of new tensors

Authors :
Juan de Dios Pérez
George Kaimakamis
Konstantina Panagiotidou
Source :
Periodica Mathematica Hungarica. 83:250-259
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

In this paper two new tensor fields on real hypersurfaces in complex quadric are introduced. Real hypersurfaces on which the derivatives of the tensor fields with respect to the Levi-Civita connection and the k-th generalized Tanaka–Webster connection of them coincide are studied leading to new classification results on real hypersurfaces in a complex quadric.

Details

ISSN :
15882829 and 00315303
Volume :
83
Database :
OpenAIRE
Journal :
Periodica Mathematica Hungarica
Accession number :
edsair.doi...........010696354bd015e521b66b4dbdecfcea
Full Text :
https://doi.org/10.1007/s10998-021-00383-0