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math.DG2019
A class of fully nonlinear equations arising in conformal geometry
Li Chen, Xi Guo, Yan He
In this paper, we consider a class of fully nonlinear equations on closed smooth Riemannian manifolds, which can be viewed as an extension of Yamabe equation. Moreover, we pr…
math.DG2010
Prescribing the symmetric function of the eigenvalues of the Schouten tensor
Yan He, Weimin Sheng
In this paper we study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds wi…
math.DG2010
Local estimates for elliptic equations arising in conformal geometry
Yan He, Weimin Sheng
In this paper we consider Yamabe type problem for higher order curvatures on manifolds with totally geodesic boundaries. We prove local gradient and second derivative estimates for…