References of "Science China Mathematics"
     in
Bookmark and Share    
Full Text
Peer Reviewed
See detailFunctional inequalities on manifolds with non-convex boundary
Cheng, Li Juan UL; Thalmaier, Anton UL; Thompson, James UL

in Science China Mathematics (2018), 61(8), 1421-1436

In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non ... [more ▼]

In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary. [less ▲]

Detailed reference viewed: 242 (41 UL)
Full Text
Peer Reviewed
See detailA Stein deficit for the logarithmic Sobolev inequality
Ledoux, Michel; Nourdin, Ivan UL; Peccati, Giovanni UL

in Science China Mathematics (2017), 60

Detailed reference viewed: 134 (4 UL)
Full Text
Peer Reviewed
See detailA geometric heat flow for vector fields
Li, Yi UL; Liu, KeFeng

in Science China Mathematics (2015), 58(4), 673-688

We introduce and study a geometric heat flow to find Killing vector fields on closed Riemannian manifolds with positive sectional curvature. We study its various properties, prove the global existence of ... [more ▼]

We introduce and study a geometric heat flow to find Killing vector fields on closed Riemannian manifolds with positive sectional curvature. We study its various properties, prove the global existence of the solution to this flow, discuss its convergence and possible applications, and its relation to the Navier-Stokes equations on manifolds and Kazdan-Warner-Bourguignon-Ezin identity for conformal Killing vector fields. We also provide two new criterions on the existence of Killing vector fields. A similar flow to finding holomorphic vector fields on Kähler manifolds will be studied by Li and Liu [less ▲]

Detailed reference viewed: 99 (5 UL)
Full Text
Peer Reviewed
See detailAn integration by parts formula on path space over manifolds carrying geometric flow
Cheng, Li Juan UL

in Science China Mathematics (2015), 58(7), 1511--1522

Detailed reference viewed: 86 (8 UL)
Full Text
Peer Reviewed
See detailOn an extension of the H^k n curvature flow
Li, Yi UL

in Science China Mathematics (2012), 55(1), 99-118

Detailed reference viewed: 31 (4 UL)