Characterizations of slant-type submanifolds in $ (\alpha, p) $-golden geometry

Ayşe Torun; Mustafa Özkan; Ayşe Torun; Mustafa Özkan

doi:10.3934/math.2026045

AIMS Mathematics

2026, Volume 11, Issue 1: 1036-1049. doi: 10.3934/math.2026045

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Characterizations of slant-type submanifolds in $ (\alpha, p) $-golden geometry

Ayşe Torun ^{1
,
,},
Mustafa Özkan ²

1.
Department of Mathematics, Faculty of Science, Eskişehir Technical University, Eskişehir, Türkiye
2.
Department of Mathematics, Faculty of Science, Gazi University, Ankara, Türkiye

Received: 27 October 2025 Revised: 17 December 2025 Accepted: 25 December 2025 Published: 14 January 2026
MSC : 53B20, 53B25, 53C15, 53C42

Motivated by the growing interest in geometric structures defined through polynomial tensor identities, we investigated slant and semi-slant submanifolds of almost $(\alpha, p)$-golden Riemannian manifolds a generalized class encompassing golden, and complex golden structures. We introduced the notions of $(\alpha, p)$-slant and semi-slant submanifolds, established their characterizations and integrability conditions, and constructed illustrative examples. The results extend and unify existing theories in golden and complex golden geometry within a common framework.
- $ (\alpha, p) $-structure,
- $ (\alpha, p) $-golden manifold,
- slant submanifold,
- semi-slant submanifold
Citation: Ayşe Torun, Mustafa Özkan. Characterizations of slant-type submanifolds in $ (\alpha, p) $-golden geometry[J]. AIMS Mathematics, 2026, 11(1): 1036-1049. doi: 10.3934/math.2026045

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Abstract

Motivated by the growing interest in geometric structures defined through polynomial tensor identities, we investigated slant and semi-slant submanifolds of almost $(\alpha, p)$-golden Riemannian manifolds a generalized class encompassing golden, and complex golden structures. We introduced the notions of $(\alpha, p)$-slant and semi-slant submanifolds, established their characterizations and integrability conditions, and constructed illustrative examples. The results extend and unify existing theories in golden and complex golden geometry within a common framework.

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