Witten deformation and divergence-free symmetric Killing 2-tensors

Kwangho Choi; Junho Lee

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arXiv · 2405.10520

Witten deformation and divergence-free symmetric Killing 2-tensors

Kwangho Choi·Junho Lee

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Abstract

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

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Kwangho Choi, Junho Lee. 2024-05-17. Witten deformation and divergence-free symmetric Killing 2-tensors. https://arxiv.org/abs/2405.10520

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