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NUMBER M20006
AUTHOR Shin, Jinwoo,Ho, Pak Tung
TITLE The second generalized Yamabe invariant and conformal mean curvature flow on manifolds with boundary
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JOURNAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2021
ABSTRACT In this paper, we define the second generalized Yamabe invariant on manifolds with boundary. We prove some of its properties and study when the invariant is attained by some metric. In another direction, by using the conformal mean curvature flow, we prove a version of the conformal Schwarz lemma for manifolds with boundary. (C) 2020 Elsevier Inc. All rights reserved.
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