Evolution families and the Loewner equation II: complex hyperbolic manifolds |
| |
| Authors: | Filippo Bracci Manuel D Contreras Santiago Díaz-Madrigal |
| |
| Institution: | (1) Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Rome, Italy;(2) Camino de los Descubrimientos, s/n, Departamento de Matemática Aplicada II, Escuela Técnica Superior de Ingenieros, Universidad de Sevilla, 41092 Sevilla, Spain |
| |
| Abstract: | We prove that evolution families on complex complete hyperbolic manifolds are in one to one correspondence with certain semicomplete
non-autonomous holomorphic vector fields, providing the solution to a very general Loewner type differential equation on manifolds.
M. D. Contreras and S. Díaz-Madrigal were partially supported by the Ministerio de Ciencia e Innovación and the European Union (FEDER), project MTM2006-14449-C02-01, by La Consejería de Educación y Ciencia de la Junta de Andalucía, and by the European Science Foundation Research Networking Programme HCAA. |
| |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 34M45 Secondary 32Q45 32W99 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
