Homology of Warped Product Semi-Invariant Submanifolds of a Sasakian Space Form with Semisymmetric Metric Connection

This paper focuses on the investigation of semi-invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of o...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2023, Vol.2023, p.1-8
Main Authors: Al-Dayel, Ibrahim, Khan, Meraj Ali, Shuaib, Mohammad
Format: Article
Language:English
Subjects:
Approximation
Euclidean space
Homology
Invariants
Investigations
Manifolds (mathematics)
Mathematics
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Summary:This paper focuses on the investigation of semi-invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis of these submanifolds. Notably, we present a proof demonstrating the absence of stable currents for these submanifolds under a specific condition.
ISSN:2314-4629
2314-4785
DOI:10.1155/2023/5035740