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Dergiler / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 1

The Sampson Laplacian on Negatively Pinched Riemannian Manifolds

Vladimir ROVENSKI
Sergey STEPANOV
Irina TSYGANOK
Sayfa
91–99
Yayın Tarihi
2022-10-18
DOI
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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.
💡
Sonuç & Katkı:Some applications of these results to conformal Killing tensors are presented.
🔬Tür:Araştırma Makalesi
📍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. (2022). The Sampson Laplacian on Negatively Pinched Riemannian Manifolds. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 1, 91–99. https://ajindex.com/articles/539593

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