Noncompact 4-manifolds with uniformly positive isotropic curvature

Verfasser / Beitragende:
[Liang Shen]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/9(2015-09-01), 1391-1414
Format:
Artikel (online)
ID: 605461252
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024 7 0 |a 10.1007/s10114-015-1611-y  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-1611-y 
100 1 |a Shen  |D Liang  |u Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA  |4 aut 
245 1 0 |a Noncompact 4-manifolds with uniformly positive isotropic curvature  |h [Elektronische Daten]  |c [Liang Shen] 
520 3 |a In this paper, we study Ricci flow on noncompact 4-manifolds with uniformly positive isotropic curvature and with no essential imcompressible space form. That means there is positive lower bound of isotropic curvature and bounded geometry. Then by Perelman's technique, we can analyze the structures of such manifolds. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Ricci flow  |2 nationallicence 
690 7 |a surgery  |2 nationallicence 
690 7 |a isotropic curvature  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/9(2015-09-01), 1391-1414  |x 1439-8516  |q 31:9<1391  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-1611-y  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-1611-y  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Shen  |D Liang  |u Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/9(2015-09-01), 1391-1414  |x 1439-8516  |q 31:9<1391  |1 2015  |2 31  |o 10114