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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Later, we also obtain some inequalities.
📌 3 Key Takeaways
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Objective & Hypothesis:In this article, firstly we study pointwise slant, pointwise hemi-slant submanifolds whose ambient spaces are para-cosymplectic manifolds and we prove that there exist pointwise hemi-slant nontrivial warped product submanifolds whose ambient spaces are para-cosymplectic manifolds by giving some examples.
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Key Findings & Data:We get several theorems and some characterizations.
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Conclusion & Impact:Later, we also obtain some inequalities.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Para-cosymplectic manifold · pointwise hemi-slant submanifold · warped product submanifold
Abstract
In this article, firstly we study pointwise slant, pointwise hemi-slant submanifolds whose ambient spaces are para-cosymplectic manifolds and we prove that there exist pointwise hemi-slant nontrivial warped product submanifolds whose ambient spaces are para-cosymplectic manifolds by giving some examples. We get several theorems and some characterizations. Later, we also obtain some inequalities.
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Cite This Article
Ayaz, S., Gündüzalp, Y. (2025). Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 74 Issue: 1. https://doi.org/10.31801/cfsuasmas.1506942