Dergiler / International Electronic Journal of Geometry / 2023 / Volume: 16 Issue: 2

On a Sequence of Slant Submanifolds in Almost Product Riemannian Setting

Adara M. Blaga(West University of Timisoara)0000-0003-0237-3866
Sayfa
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Yayın Tarihi
2023-10-29
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we state this result in a more general case.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We prove that the property of being pointwise slant is transitive on a class of proper pointwise slant submanifolds of almost product Riemannian manifolds, and illustrate this fact with an example.
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Temel Bulgular & Veri:For a given almost product Riemannian manifold $(M_1,g,\varphi_1)$, we consider a sequence of pointwise slant submanifolds $(M_{i+1}\hookrightarrow M_i)_{i\in \mathbb{N}^*}$, and we explicitly determine the relation between the slant functions.
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Sonuç & Katkı:Moreover, we state this result in a more general case.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Pointwise slant submanifold · almost product Riemannian manifold · anti-invariant submanifold

Abstract

We prove that the property of being pointwise slant is transitive on a class of proper pointwise slant submanifolds of almost product Riemannian manifolds, and illustrate this fact with an example. For a given almost product Riemannian manifold $(M_1,g,\varphi_1)$, we consider a sequence of pointwise slant submanifolds $(M_{i+1}\hookrightarrow M_i)_{i\in \mathbb{N}^*}$, and we explicitly determine the relation between the slant functions. Moreover, we state this result in a more general case.

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Bu Makaleye Atıf Yap

Blaga, A. M. (2023). On a Sequence of Slant Submanifolds in Almost Product Riemannian Setting. International Electronic Journal of Geometry, Volume: 16 Issue: 2. https://doi.org/10.36890/iejg.1321401

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Kaynakça (3)

  1. Blaga, A.M.: New insights on slant submanifolds in almost Hermitian geometry. (2023). https://doi.org/10.48550/arXiv.2306.04982
  2. Chen, B.-Y., Garay, O.J.: Pointwise slant submanifolds in almost Hermitian manifolds. Turkish J. Math. 36, 630–640 (2012). https://doi.org/10.3906/mat-1101-34
  3. Etayo, F.: On quasi-slant submanifolds of an almost Hermitian manifold. Publ. Math. Debrecen. 53(1-2), 217–223 (1998).