On Lorentzian β-{K}enmotsu manifolds admitting Schouten-van Kampen connection

Gyanvendra Pratap Singh; Pawan Prajapati; Abdul Haseeb

doi:10.54286/ikjm.1811009

July 16, 2026Ikonion Journal of Mathematics

On Lorentzian β-{K}enmotsu manifolds admitting Schouten-van Kampen connection

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Key Points

This research focuses on Lorentzian beta-Kenmotsu manifolds and their geometric properties under the Schouten-van Kampen connection.
Examined $eta$-Kenmotsu manifolds admitting the Schouten-van Kampen connection (SVKC)
Analyzed conditions for $eta$-Kenmotsu manifolds to be $eta$-concircularly flat and $eta$-Ricci symmetric with SVKC
Provided an example of $eta$-Kenmotsu manifold verifying results related to SVKC
Demonstrated conditions for $eta$-Kenmotsu manifolds to exhibit $eta$-concircularly flat properties under SVKC
Found that locally $eta$-Ricci symmetric $eta$-Kenmotsu manifolds reveal interesting geometric features within SVKC
Presented an example that confirms the findings regarding $eta$-Kenmotsu manifolds and SVKC

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Implication

Analytical study of Lorentzian Beta-Kenmotsu manifolds admitting the Schouten-van Kampen connection, implying geometric properties.

Abstract

The present article aims to study the Lorentzian β-{K}enmotsu manifolds (M_β) admitting the Schouten-van Kampen connection (in brief, SVKC). We study M_β satisfying ζ-concircularly flat and φ-concircularly flat conditions admitting SVKC. Also, we study M_β admitting the SVKC satisfying C · S=0. We also deal the locally φ-Ricci symmetric M_β with respect to the SVKC. Further, we discussed almost Ricci solitons on M_β admitting SVKC. Finally, we have given an example of M_β admitting a SVKC which verifies some of our results.

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Singh et al. (2026) studied this question.

synapsesocial.com/papers/6a5b18b318557b26c203a6c2 https://doi.org/10.54286/ikjm.1811009

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On Lorentzian β-{K}enmotsu manifolds admitting Schouten-van Kampen connection

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On Lorentzian β-{K}enmotsu manifolds admitting Schouten-van Kampen connection

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