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Acta Mathematica Academiae Paedagogicae Nyregyhziensis 34 (2023), 112119. www.emis.de/journals ISSN 17860091SEMISYMMETRIC GENERALIZED SASAKIANSPACEFORMS VIDYAVATHI K. R., SUSHILABAI ADIGOND, AND C.
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Semi-symmetric generalized Sasakian-space-forms are a specific type of geometric structure characterized by a combination of semi-symmetry in their metric and specific curvature properties. They relate to Sasakian manifolds, which are a class of contact manifolds with additional properties associated with CR geometry.
Typically, researchers or mathematicians engaged in the study of differential geometry and topology may be required to file studies or reports regarding semi-symmetric generalized Sasakian-space-forms, especially when documenting findings for publications or academic standards.
Filling out semi-symmetric generalized Sasakian-space-forms generally involves specifying parameters of the geometric structure, such as the defining functions, curvature conditions, and dimension of the manifold. This is usually presented in mathematical notation following established conventions in differential geometry.
The purpose of studying semi-symmetric generalized Sasakian-space-forms is to explore their geometric properties, their implications in higher-dimensional manifolds, and their applications in theoretical physics and other fields, such as string theory or complex differential geometry.
Information that must be reported includes detailed mathematical descriptions of the forms, relevant geometric and topological properties, classifications, examples, and any relevant theorems or results regarding these structures.
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