Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator Pérez Jiménez, Juan De Dios Suh, Young Jin Woo, Changhwa Real hypersurfaces Complex hyperbolic two-plane Grassmannians Commuting shape operator This article was written at the conference of 2015RSME which was held at Univ. of Granada in Spain during the period from Feb. 2-6, 2015. 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. 2015-10-09T11:14:13Z 2015-10-09T11:14:13Z 2015 info:eu-repo/semantics/article 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] 2391-5455 http://hdl.handle.net/10481/38428 10.1515/math-2015-0046 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ info:eu-repo/semantics/openAccess Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Gruyter Open