On the Geometry of Semi-Invariant Submanifolds in ( α, p )-Golden Riemannian Manifolds

Cristina Elena Hreţcanu () and Simona-Luiza Druţă-Romaniuc
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Cristina Elena Hreţcanu: Faculty of Food Engineering, Stefan cel Mare University of Suceava, 720229 Suceava, Romania
Simona-Luiza Druţă-Romaniuc: Department of Mathematics and Informatics, Gheorghe Asachi Technical University of Iaşi, 700506 Iaşi, Romania

Mathematics, 2024, vol. 12, issue 23, 1-18

Abstract: The main aim of this paper is to study some properties of submanifolds in a Riemannian manifold equipped with a new structure of golden type, called the ( α , p )-golden structure, which generalizes the almost golden structure (for α = 1 ) and the almost complex golden structure (for α = − 1 ). We present some characterizations of isometrically immersed submanifolds in an ( α , p )-golden Riemannian manifold, especially in the case of the semi-invariant submanifolds, and we find some conditions for the integrability of the distributions.

Keywords: ? -structure; ( ? , p )-structure; ( ? , p )-golden manifold; semi-invariant submanifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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