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Dergiler / 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
Sayfa
—
Yayın Tarihi
2021-04-15
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Some applications of these results to conformal Killing tensors are presented.
🔬Tür:Conference Paper
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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