References of "Liu, Kefeng"
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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 ▲]

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See detailLocalization, Hurwitz numbers and the Witten conjecture
Li, Yi UL; Chen, Lin; Liu, Kefeng

in Asian Journal of Mathematics (2008), 12(4), 511-518

Detailed reference viewed: 38 (1 UL)