On Kähler surfaces of constant positive scalar curvature

Claude LeBrun; Santiago R. Simanca

doi:10.1007/BF02926444

On Kähler surfaces of constant positive scalar curvature

Claude LeBrun
, Santiago R. Simanca

Mathematics

Stony Brook University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Let M be a compact complex 2-manifold that admits a Kähler metric for which the integral of the scalar curvature is positive. Suppose, moreover, that b₁ (M) > 2. Then, if M is blown up at sufficiently many points, the resulting complex manifold ~ M admits Kähler metrics of constant positive scalar curvature.

Original language	English
Pages (from-to)	115-127
Number of pages	13
Journal	Journal of Geometric Analysis
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/BF02926444
State	Published - Mar 1995

Keywords

32J15
53C25
53C55
58E11
complex surface
Kähler metric
scalar curvature

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10.1007/BF02926444

Cite this

@article{c7f663826c0049a79a3e1f0a68566bc4,

title = "On K{\"a}hler surfaces of constant positive scalar curvature",

abstract = "Let M be a compact complex 2-manifold that admits a K{\"a}hler metric for which the integral of the scalar curvature is positive. Suppose, moreover, that b1 (M) > 2. Then, if M is blown up at sufficiently many points, the resulting complex manifold \textasciitilde{} M admits K{\"a}hler metrics of constant positive scalar curvature.",

keywords = "32J15, 53C25, 53C55, 58E11, complex surface, K{\"a}hler metric, scalar curvature",

author = "Claude LeBrun and Simanca, \{Santiago R.\}",

year = "1995",

month = mar,

doi = "10.1007/BF02926444",

language = "English",

volume = "5",

pages = "115--127",

journal = "Journal of Geometric Analysis",

issn = "1050-6926",

number = "1",

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TY - JOUR

T1 - On Kähler surfaces of constant positive scalar curvature

AU - LeBrun, Claude

AU - Simanca, Santiago R.

PY - 1995/3

Y1 - 1995/3

N2 - Let M be a compact complex 2-manifold that admits a Kähler metric for which the integral of the scalar curvature is positive. Suppose, moreover, that b1 (M) > 2. Then, if M is blown up at sufficiently many points, the resulting complex manifold ~ M admits Kähler metrics of constant positive scalar curvature.

AB - Let M be a compact complex 2-manifold that admits a Kähler metric for which the integral of the scalar curvature is positive. Suppose, moreover, that b1 (M) > 2. Then, if M is blown up at sufficiently many points, the resulting complex manifold ~ M admits Kähler metrics of constant positive scalar curvature.

KW - 32J15

KW - 53C25

KW - 53C55

KW - 58E11

KW - complex surface

KW - Kähler metric

KW - scalar curvature

UR - https://www.scopus.com/pages/publications/0011082922

U2 - 10.1007/BF02926444

DO - 10.1007/BF02926444

M3 - Article

AN - SCOPUS:0011082922

SN - 1050-6926

VL - 5

SP - 115

EP - 127

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 1

ER -

On Kähler surfaces of constant positive scalar curvature

Abstract

Keywords

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