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On the structure vector field of a real hypersurface in complex quadric

On the structure vector field of a real hypersurface in complex quadric AbstractFrom the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact. In such cases we classify real hypersurfaces whose structure vector field is of Jacobi type. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

On the structure vector field of a real hypersurface in complex quadric

Open Mathematics , Volume 16 (1): 5 – Mar 20, 2018

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Publisher
de Gruyter
Copyright
© 2018 de Dios Pérez, published by De Gruyter
ISSN
2391-5455
eISSN
2391-5455
DOI
10.1515/math-2018-0021
Publisher site
See Article on Publisher Site

Abstract

AbstractFrom the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact. In such cases we classify real hypersurfaces whose structure vector field is of Jacobi type.

Journal

Open Mathematicsde Gruyter

Published: Mar 20, 2018

Keywords: Real hypersurfaces; Complex quadric; Jacobi type vector field; Structure vector field; Killing vector field; 53C40; 53C15

References