Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator

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URI: http://hdl.handle.net/10481/38428
ISSN: 2391-5455
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Autor
Pérez Jiménez, Juan De Dios; Suh, Young Jin; Woo, Changhwa
Editorial
Gruyter Open
Materia
Real hypersurfaces
 
Complex hyperbolic two-plane Grassmannians
 
Commuting shape operator
 
Fecha
2015
Referencia bibliográfica
Pérez Jiménez, J.D.; Suh, Y.J.; Woo, C. Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator. Open Mathematics, 13(1): 493-501 (2015). [http://hdl.handle.net/10481/38428]
Patrocinador
First author is partially supported by MCT-FEDER Grant MTM2010-18099, the second by Grant Proj. No. NRF-2015-R1A2A1A-01002459. And the third author supported by NRF Grant funded by the Korean Government (NRF-2013-Fostering Core Leaders of Future Basic Science Program).
Resumen
In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.
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