In this paper,we prove the existence of solutions to the Fu-Yau equation on com-pact Kähler manifolds.As an application,we give a class of non-trivial solutions of the modified Strominger system.
In this paper, we prove the C^(1,1)-regularity of the plurisubharmonic envelope of a C^(1,1) function on a compact Hermitian manifold. We also present the examples to show this regularity is sharp.
文摘In this paper,we prove the existence of solutions to the Fu-Yau equation on com-pact Kähler manifolds.As an application,we give a class of non-trivial solutions of the modified Strominger system.
基金supported by National Natural Science Foundation of China (Grant Nos. 11571018 and 11331001)
文摘In this paper, we prove the C^(1,1)-regularity of the plurisubharmonic envelope of a C^(1,1) function on a compact Hermitian manifold. We also present the examples to show this regularity is sharp.