Witten Deformation and Divergence-Free Symmetric Killing 2-Tensors

By using a Morse function and a Witten deformation argument, we obtain an upper bound for the dimensions of the space of divergence-free symmetric Killing p-tensors on a closed Riemannian manifold and explicitly calculate it for p=2.

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Publication Details

Journal
Geometry
Published
2026-01-13
DOI
https://doi.org/10.3390/geometry3010002
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Witten Deformation and Divergence-Free Symmetric Killing 2-Tensors

Kwangho Choi, Junho Lee
Geometry
Geometric Analysis and Curvature Flows
article

Witten Deformation and Divergence-Free Symmetric Killing 2-Tensors

Kwangho Choi, Junho Lee
article en

Abstract

By using a Morse function and a Witten deformation argument, we obtain an upper bound for the dimensions of the space of divergence-free symmetric Killing p-tensors on a closed Riemannian manifold and explicitly calculate it for p=2.

GeometryVol. 3(1)
University of Central Florida (US), Dongguk University (KR)
Reduced inequalities
Openalex Percentile: Top 89%
Geometric Analysis and Curvature Flows
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Witten Deformation and Divergence-Free Symmetric Killing 2-Tensors — Kwangho Choi, Junho Lee · Geometry (2026) | TGRS Research Map | TGRS