Variational structure of the $v_{\frac{n}{2}}$-Yamabe problem

Matthew J. Gursky; Jeffrey Streets

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arXiv · 1611.00322

Variational structure of the $v_{\frac{n}{2}}$-Yamabe problem

Matthew J. Gursky·Jeffrey Streets

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Abstract

We define a new formal Riemannian metric on a conformal class in the context of the $v_{\frac{n}{2}}$-Yamabe problem. Our construction leads to a new variational characterization and a new parabolic flow approach to this problem. Moreover, this variational framework suggests that solutions to this problem are unique in a given conformal class.

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BibTeX RIS

Matthew J. Gursky, Jeffrey Streets. 2016-11-01. Variational structure of the $v_{\frac{n}{2}}$-Yamabe problem. https://arxiv.org/abs/1611.00322

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