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Título: Supported Blow-Up And Prescribed Scalar Curvature On S | ||
Autor: Chun Leung, Man | Precio: $1120.00 | |
Editorial: American Mathematical Society | Año: 2011 | |
Tema: | Edición: 1ª | |
Sinopsis | ISBN: 9780821853375 | |
The author expounds the notion of supported blow-up and applies it to study the renowned Nirenberg/Kazdan-Warner problem on Sn. When n=5 and under some mild conditions, he shows that blow-up at a point with positive definite Hessian has to be a supported isolated blow-up, which, when combined with a uniform volume bound, is a removable singularity. A new asymmetric condition is introduced to exclude single simple blow-up. These enable the author to obtain a general existence theorem for n=5 with rather natural condition. |