Regularity of geodesic rays and Monge-Ampere equations TeX Export

@article{citeulike:5382101, abstract = {It is shown that the geodesic rays constructed as limits of Bergman geodesics from a test configuration are always of class \$C^{1,\alpha}, 0\<\alpha\<1\$. An essential step is to establish that the rays can be extended as solutions of a Dirichlet problem for a Monge-Ampere equation on a Kaehler manifold which is compact.}, archivePrefix = {arXiv}, author = {Phong, D. H. and Sturm, Jacob}, citeulike-article-id = {5382101}, citeulike-linkout-0 = {http://arxiv.org/abs/0908.0556}, citeulike-linkout-1 = {http://arxiv.org/pdf/0908.0556}, day = {4}, eprint = {0908.0556}, keywords = {monge-ampere, regularity, transport}, month = {Aug}, posted-at = {2009-08-06 13:37:44}, priority = {2}, title = {Regularity of geodesic rays and Monge-Ampere equations}, url = {http://arxiv.org/abs/0908.0556}, year = {2009} }

TY - JOUR ID - citeulike:5382101 L3 - citeulike-article-id:5382101 N2 - It is shown that the geodesic rays constructed as limits of Bergman geodesics from a test configuration are always of class $C^{1,\alpha}, 0<\alpha<1$. An essential step is to establish that the rays can be extended as solutions of a Dirichlet problem for a Monge-Ampere equation on a Kaehler manifold which is compact. TI - Regularity of geodesic rays and Monge-Ampere equations KW - monge-ampere KW - regularity KW - transport AU - Phong, DH AU - Sturm, Jacob PY - 2009/Aug/04/ UR - http://arxiv.org/abs/0908.0556 ER -