scholarly journals Some characterizations of quaternionic space forms

2000 ◽  
Vol 76 (10) ◽  
pp. 168-172 ◽  
Author(s):  
Toshiaki Adachi ◽  
Sadahiro Maeda
Keyword(s):  
Space Forms ◽  
Quaternionic Space

Naturally reductive homogeneous real hypersurfaces in quaternionic space forms

2003 ◽  
Vol 74 (1) ◽  
pp. 87-100
Author(s):  
Setsuo Nagai
Keyword(s):  
Projective Space ◽  
Hyperbolic Space ◽  
Real Hypersurfaces ◽  
Quaternionic Projective Space ◽  
Space Forms ◽  
The Family ◽  
Quaternionic Hyperbolic Space ◽  
Quaternionic Space ◽  
Naturally Reductive

AbstractWe determine the naturally reductive homogeneous real hypersurfaces in the family of curvature-adapted real hypersurfaces in quaternionic projective space HPn(n ≥ 3). We conclude that the naturally reductive curvature-adapted real hypersurfaces in HPn are Q-quasiumbilical and vice-versa. Further, we study the same problem in quaternionic hyperbolic space HHn(n ≥ 3).

scholarly journals An Inequality on Quaternionic CR-Submanifolds

2018 ◽  
Vol 26 (3) ◽  
pp. 181-196 ◽  
Author(s):  
Gabriel Macsim ◽  
Adela Mihai
Keyword(s):  
Mean Curvature ◽  
Space Forms ◽  
Quaternionic Space ◽  
Cr Submanifolds

AbstractWe establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.

scholarly journals δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 480 ◽  
Author(s):  
Gabriel Macsim ◽  
Adela Mihai ◽  
Ion Mihai
Keyword(s):  
Lagrangian Submanifolds ◽  
Space Forms ◽  
Optimal Inequality ◽  
Quaternionic Space

In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for the Chen invariant δ ( 2 , 2 ) on Lagrangian submanifolds in quaternionic space forms, regarded as a problem of constrained maxima.

scholarly journals Circles on quaternionic space forms

1996 ◽  
Vol 48 (2) ◽  
pp. 205-227 ◽  
Author(s):  
Toshiaki ADACHI
Keyword(s):  
Space Forms ◽  
Quaternionic Space

D-einstein real hypersurfaces of quaternionic space forms

2000 ◽  
Vol 178 (1) ◽  
pp. 33-44 ◽  
Author(s):  
Miguel Ortega ◽  
Juan de Dios Pérez
Keyword(s):  
Real Hypersurfaces ◽  
Space Forms ◽  
Quaternionic Space
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