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Supported blow-up and prescribed scalar curvature on Sn / Man Chun Leung.

Math/Physics/Astronomy Library QA3 .A57 no.1002
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LIBRA QA3 .A57 no.1-no.154, no.156-no.228, no.230-no.236, no.238-no.289, no.291-no.312, no.314-no.334, no.336-no.338
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Math/Physics/Astronomy Library QA3 .A57 no.313 (1984),no.335 (1985),no.339 (1986)-no.599 (1997) no.605 (1997)-no.860 (2006),no.865 (2006)-no.1243 (2019),no.1252 (2019)-no.1286 (2020),no.1288 (2020)-no.1385 (2022),no.1392 (2023)-no.1548 (2025),no.1554 (2025)-no.1620 (2026)
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Format:
Book
Author/Creator:
Leung, Man Chun, 1963-
Series:
Memoirs of the American Mathematical Society ; 0065-9266 no. 1002.
Memoirs of the American Mathematical Society, 0065-9266 ; no. 1002
Language:
English
Subjects (All):
Blowing up (Algebraic geometry).
Curvature.
Transformations (Mathematics).
Differential equations, Elliptic.
Physical Description:
v, 99 pages ; 26 cm.
Place of Publication:
Providence, R.I. : American Mathematical Society, 2011.
Summary:
Leung (mathematics, National U. of Singapore) expounds the notion of supported blow-up and uses it to study the renowned Nirenberg/Kazdan-Warner problem on Sn. When n is equal to or more than five and under some conditions, he finds that blow-up at a point with positive definite Hessian has to be a supported isolated blow-up that, when combined with a uniform volume bound, is a removable singularity. By introducing a new asymmetric condition to exclude single blow-up, he obtains a general existence theorem for n equal to or more than five with rather national conditions. There is no index. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
Notes:
"September 2011, volume 213, number 1002 (third of 5 numbers)."
Includes bibliographical references.
ISBN:
9780821853375
0821853376
OCLC:
729346999

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