quaternionic space form
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scholarly journals Ricci solitons on QR-hypersurfaces of a quaternionic space form ℚn

2016 ◽  
Vol 8 (2) ◽  
pp. 271-281
Author(s):  
Z. Nazari ◽  
E. Abedi
Keyword(s):  
Space Form ◽  
Shape Operator ◽  
Ricci Soliton ◽  
Ricci Solitons ◽  
Quaternionic Space Form ◽  
Eigenvalue Zero ◽  
Quaternionic Space

Abstract The purpose of this paper is to study Ricci solitons on QR-hypersurfaces M of a quaternionic space form ℚn such that the shape operator A with respect to N has one eigenvalue. We prove that Ricci soliton on QR-hypersurfaces M with eigenvalue zero is steady and for eigenvalue nonzero is shrinking.

scholarly journals CERTAIN CLASS OF QR-SUBMANIFOLDS OF MAXIMAL QR-DIMENSION IN QUATERNIONIC SPACE FORM

2013 ◽  
Vol 35 (2) ◽  
pp. 147-161
Author(s):  
Hyang Sook Kim ◽  
Jin Suk Pak
Keyword(s):  
Space Form ◽  
Quaternionic Space Form ◽  
Quaternionic Space

Ruled Real Hypersurfaces in a Nonflat Quaternionic Space Form

2004 ◽  
Vol 145 (3) ◽  
pp. 179-190 ◽  
Author(s):  
Toshiaki Adachi ◽  
Sadahiro Maeda ◽  
Seiichi Udagawa
Keyword(s):  
Space Form ◽  
Real Hypersurfaces ◽  
Quaternionic Space Form ◽  
Ruled Real Hypersurfaces ◽  
Quaternionic Space

scholarly journals Totally real sectional curvature of a real hypersurface in a quaternionic space form

1998 ◽  
Vol 22 (1) ◽  
pp. 227-233
Author(s):  
Miguel Ortega ◽  
Juan de Dios Perez
Keyword(s):  
Sectional Curvature ◽  
Real Hypersurface ◽  
Space Form ◽  
Quaternionic Space Form ◽  
Quaternionic Space ◽  
Totally Real
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