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Journals / International Electronic Journal of Geometry / 2026 / Volume: 14 Issue: 1

The Sampson Laplacian on Negatively Pinched Riemannian Manifolds

Vladimir Rovenski(University of Haifa)0000-0003-0591-8307
Sergey Stepanov(Finance University)0000-0003-1734-8874
Irina Tsyganok(Finance University)0000-0001-9186-3992
Pages
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Publication Date
2021-04-15
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some applications of these results to conformal Killing tensors are presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We prove vanishing theorems for the kernel of the Sampson Laplacian, acting on symmetric tensors on a Riemannian manifold and estimate its first eigenvalue on negatively pinched Riemannian manifolds.
📊
Key Findings & Data:We prove vanishing theorems for the kernel of the Sampson Laplacian, acting on symmetric tensors on a Riemannian manifold and estimate its first eigenvalue on negatively pinched Riemannian manifolds.
💡
Conclusion & Impact:Some applications of these results to conformal Killing tensors are presented.
🔬Design:Conference Paper
📍Scope:Comprehensive Sample
⚙️Variables:Riemannian manifold · Sampson Laplacian · spectral and vanishing theorems

Abstract

We prove vanishing theorems for the kernel of the Sampson Laplacian, acting on symmetric tensors on a Riemannian manifold and estimate its first eigenvalue on negatively pinched Riemannian manifolds. Some applications of these results to conformal Killing tensors are presented.

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Cite This Article

Rovenski, V., Stepanov, S., Tsyganok, I. (2021). The Sampson Laplacian on Negatively Pinched Riemannian Manifolds. International Electronic Journal of Geometry, Volume: 14 Issue: 1. https://doi.org/10.36890/iejg.780995

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