Fully nonlinear Yamabe-type problems on non-compact manifolds

Jonah A. J. Duncan; Yi Wang

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arXiv · 2401.07808

Fully nonlinear Yamabe-type problems on non-compact manifolds

Jonah A. J. Duncan·Yi Wang

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Abstract

We obtain existence results for a class of fully nonlinear Yamabe-type problems on non-compact manifolds, addressing both the so-called positive and negative cases. We also give explicit examples of manifolds with warped product ends and asymptotically flat ends satisfying the hypotheses of our theorems.

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Jonah A. J. Duncan, Yi Wang. 2024-01-15. Fully nonlinear Yamabe-type problems on non-compact manifolds. https://arxiv.org/abs/2401.07808

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