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Journals / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2026 / Volume: 11 Issue: 2

Hypersphere and the Third Laplace-Beltrami Operator

Erhan Güler(BARTIN ÜNİVERSİTESİ, FEN FAKÜLTESİ, MATEMATİK BÖLÜMÜ)0000-0003-3264-6239
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Publication Date
2022-06-30
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

In addition, we reveal the hypersphere satisfying ∆^III h=Ah for some 4×4 matrix A.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we examine the differential geometric objects of the hypersphere h in four dimensional Euclidean geometry E^4.
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Key Findings & Data:Giving some notions of four dimension, we consider the ith curvature formulas of the hypersurfaces of E^4.
💡
Conclusion & Impact:In addition, we reveal the hypersphere satisfying ∆^III h=Ah for some 4×4 matrix A.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Euclidean space · Third Laplace-Beltrami operator · Hypersphere

Abstract

In this work, we examine the differential geometric objects of the hypersphere h in four dimensional Euclidean geometry E^4. Giving some notions of four dimension, we consider the ith curvature formulas of the hypersurfaces of E^4. In addition, we reveal the hypersphere satisfying ∆^III h=Ah for some 4×4 matrix A.

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Cite This Article

Güler, E. (2022). Hypersphere and the Third Laplace-Beltrami Operator. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Volume: 11 Issue: 2. https://doi.org/10.17798/bitlisfen.1109645

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