Supported Blow-Up and Prescribed Scalar Curvature on $S^n$

Man Chun Leung (Autor)

Buch | Softcover

99 Seiten

2012
American Mathematical Society (Verlag)
978-0-8218-5337-5 (ISBN)

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The author expounds the notion of supported blow-up and applies it to study the renowned Nirenberg/Kazdan-Warner problem on $S^n$. When $n /ge 5$ 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 $n /ge 5$ with rather natural condition.

Man Chun Leung is at National University of Singapore, Republic of Singapore

Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Gewicht	369 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-5337-6 / 0821853376
ISBN-13	978-0-8218-5337-5 / 9780821853375
Zustand	Neuware