出版日期：2022-11-30 00:00:00

著者：Pak Tung Ho

著錄名稱、卷期、頁數：International Journal of Mathematics 33(14), 2250091

摘要：Let (M,F,g0) be a Riemannian minimal foliation. The transverse Yamabe problem is to find a metric g in the basic conformal class of g0 such that the transverse scalar curvature of g is constant. We first study the uniqueness of the solutions of the transverse Yamabe problem. As a generalization of the transverse Yamabe problem, we study the problem of prescribing transverse scalar curvature by using geometric flow. We then prove a version of conformal Schwarz lemma on (M,F,g0) . Finally, we consider the transverse Yamabe soliton, which is the self-similar solution of the transverse Yamabe flow.

關鍵字：Transverse Yamabe problem;Riemannian foliation;transverse Yamabe flow

語言：en

ISSN：1793-6519; 0129-167X

期刊性質：國外

收錄於：SCI

通訊作者：Pak Tung Ho

審稿制度：是

國別：SGP

出版型式：電子版,紙本