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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Moreover, we state this result in a more general case.
📌 3 Key Takeaways
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Objective & Hypothesis: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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Key Findings & Data: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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Conclusion & Impact:Moreover, we state this result in a more general case.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article
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