کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605797 | 1631348 | 2016 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Real hypersurfaces in complex hyperbolic two-plane Grassmannians with Reeb invariant Ricci tensor
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Real hypersurfaces in complex hyperbolic two-plane Grassmannians with Reeb invariant Ricci tensor Real hypersurfaces in complex hyperbolic two-plane Grassmannians with Reeb invariant Ricci tensor](/preview/png/4605797.png)
چکیده انگلیسی
In this paper we first introduce the full expression of the curvature tensor of a real hypersurface M in complex hyperbolic two-plane Grassmannians SU2,m/S(U2⋅Um)SU2,m/S(U2⋅Um), m≥2m≥2 from the equation of Gauss. Next we derive a new formula for the Ricci tensor S of M in SU2,m/S(U2⋅Um)SU2,m/S(U2⋅Um). Finally we give a complete classification of Hopf hypersurfaces in complex hyperbolic two-plane Grassmannians SU2,m/S(U2⋅Um)SU2,m/S(U2⋅Um) with Reeb invariant Ricci tensor, that is, LξS=0LξS=0. Each can be described as a tube over a totally geodesic SU2,m−1/S(U2⋅Um−1)SU2,m−1/S(U2⋅Um−1) in SU2,m/S(U2⋅Um)SU2,m/S(U2⋅Um) or a horosphere whose center at infinity is singular.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 47, August 2016, Pages 14–25
Journal: Differential Geometry and its Applications - Volume 47, August 2016, Pages 14–25
نویسندگان
Gyu Jong Kim, Young Jin Suh,