scholarly journals FINITE ITERATIVE (R,S)-CONJUGATE SOLUTIONS OF THE GENERALIZED COMPLEX COUPLED SYLVESTER-TRANSPOSE EQUATIONS

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Yajun Xie ◽  
◽  
Yifen Ke ◽  
Keyword(s):  
Generalized Complex

scholarly journals Generalized almost even-Clifford manifolds and their twistor spaces

2021 ◽  
Vol 8 (1) ◽  
pp. 96-124
Author(s):  
Luis Fernando Hernández-Moguel ◽  
Rafael Herrera
Keyword(s):  
Twistor Space ◽  
Complex Structure ◽  
Twistor Spaces ◽  
Recent Interest ◽  
Generalized Complex Structure ◽  
Generalized Complex ◽  
Space Construction ◽  
Clifford Structures

Abstract Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space construction on even-Clifford manifolds to this setting and show that such a twistor space admits a generalized complex structure under certain conditions.

scholarly journals Gaugino mass term for D-branes and Generalized Complex Geometry

2020 ◽  
Vol 2020 (6) ◽  
Author(s):  
Mariana Graña ◽  
Nicolás Kovensky ◽  
Ander Retolaza
Keyword(s):  
Complex Geometry ◽  
Mass Term ◽  
Gaugino Mass ◽  
Generalized Complex

scholarly journals CR-warped product submanifolds of a generalized complex space form

2017 ◽  
Vol 4 (1) ◽  
pp. 1306153
Author(s):  
Meraj Ali Khan ◽  
Amira A. Ishan ◽  
Hari M. Srivastava
Keyword(s):  
Warped Product ◽  
Complex Space ◽  
Space Form ◽  
Complex Space Form ◽  
Generalized Complex

scholarly journals B.-Y. CHEN INEQUALITIES FOR SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS

2003 ◽  
Vol 40 (3) ◽  
pp. 411-423 ◽  
Author(s):  
Jeong-Sik Kim ◽  
Yeong-Moo Song ◽  
Mukut-Mani Tripathi
Keyword(s):  
Complex Space ◽  
Space Forms ◽  
Generalized Complex ◽  
Complex Space Forms

scholarly journals Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Yanlin Li ◽  
Ali H. Alkhaldi ◽  
Akram Ali
Keyword(s):  
Warped Product ◽  
Complex Space ◽  
Slant Submanifold ◽  
Codazzi Equation ◽  
Space Forms ◽  
Kaehler Manifolds ◽  
Slant Submanifolds ◽  
Generalized Complex ◽  
Complex Space Forms ◽  
Nearly Kaehler Manifold

In this study, we develop a general inequality for warped product semi-slant submanifolds of type M n = N T n 1 × f N ϑ n 2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this. It is also described how to classify warped product semi-slant submanifolds that satisfy the equality cases of inequalities (determined using boundary conditions). Several results for connected, compact warped product semi-slant submanifolds of nearly Kaehler manifolds are obtained, and they are derived in the context of the Hamiltonian, Dirichlet energy function, gradient Ricci curvature, and nonzero eigenvalue of the Laplacian of the warping functions.

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