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 Generalized Wintgen inequality for Lagrangian submanifolds in quaternionic space forms

2019 ◽  
pp. 803-813 ◽  
Author(s):  
Gabriel Macsim ◽  
Valentin Ghişoiu
Keyword(s):  
Lagrangian Submanifolds ◽  
Space Forms ◽  
Quaternionic Space

scholarly journals INEQUALITIES FOR GENERALIZED NORMALIZED $\delta$-CASORATI CURVATURES OF SLANT SUBMANIFOLDS IN QUATERNIONIC SPACE FORMS

2015 ◽  
Vol 19 (3) ◽  
pp. 691-702 ◽  
Author(s):  
Jaewon Lee ◽  
Gabriel-Eduard Vîlcu
Keyword(s):  
Space Forms ◽  
Slant Submanifolds ◽  
Quaternionic Space

scholarly journals Pseudo-parallel Lagrangian submanifolds in complex space forms

2009 ◽  
Vol 27 (1) ◽  
pp. 137-145 ◽  
Author(s):  
Pablo M. Chacón ◽  
Guillermo A. Lobos
Keyword(s):  
Complex Space ◽  
Lagrangian Submanifolds ◽  
Space Forms ◽  
Complex Space Forms

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).

Weakly symmetric spaces in complex and quaternionic space forms

1995 ◽  
Vol 65 (4) ◽  
pp. 342-351 ◽  
Author(s):  
Setsuo Nagai
Keyword(s):  
Symmetric Spaces ◽  
Space Forms ◽  
Weakly Symmetric ◽  
Quaternionic Space ◽  
Weakly Symmetric Spaces

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 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
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