Article ID: MTJPAM-D-24-00076

Title: Invariant submanifolds of a (κ, μ, ν)-paracontact metric manifold admitting Zamkovoy connection

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-24-00076; Volume 8 / Issue 2 / Year 2026, Pages 39-50

Document Type: Research Paper

Author(s): Maruru Shrinivasamurthy Lakshmi ^a, Hallamanavar Gangadharappa Nagaraja ^b

^aDepartment of Mathematics, Jnana Bharathi Campus, Bangalore University, Bengaluru 560056, India

^bDepartment of Mathematics, Jnana Bharathi Campus, Bangalore University, Bengaluru 560056, India

Received: 7 June 2024, Accepted: 15 December 2025, Published: 4 July 2026

Corresponding Author: Maruru Shrinivasamurthy Lakshmi (Email address: lakshmims1369@gmail.com)

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Abstract

This paper aims to investigate characteristics of invariant submanifolds within a (κ,μ,ν)-paracontact metric manifold with a Zamkovoy connection. We provide characterizations of such submanifolds, subject to specific curvature conditions associated with the Zamkovoy connection. Additionally, we establish necessary and sufficient criteria for such submanifolds to be totally geodesic, based on the characteristics of the functions κ, μ and ν.

Keywords: (κ, μ, ν)-paracontact metric manifold, invariant submanifold, totally geodesic, Zamkovoy connection

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