On phi-recurrent generalized Sasakian-space-forms
E. Peyghan, A. Tayebi
TL;DR
This paper proves that phi-recurrent generalized Sasakian-space-forms cannot exist when the defining constant is non-zero, clarifying the structure of these geometric spaces.
Contribution
It establishes a non-existence result for phi-recurrent generalized Sasakian-space-forms with non-zero constant, advancing understanding of their geometric properties.
Findings
No phi-recurrent generalized Sasakian-space-forms exist with non-zero constant
The result constrains the classification of these geometric structures
Provides insight into the curvature conditions of Sasakian-space-forms
Abstract
We show that there is no phi-recurrent generalized Sasakian-space-forms, when is a non-zero constant.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology