Geometric flows and Strominger systems

被引：47
作者：
Phong, Duong H. [1 ]
Picard, Sebastien [1 ]
Zhang, Xiangwen [2 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
MATHEMATISCHE ZEITSCHRIFT | 2018年 / 288卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
Balanced metrics; Anomaly equation; Nash-Moser implicit function theorem; MONGE-AMPERE EQUATION; CALABI-YAU THREEFOLDS; STRING THEORY; COMPLEX-GEOMETRY; RICCI CURVATURE; STABLE BUNDLES; MANIFOLDS; EXISTENCE; TORSION;
D O I：
10.1007/s00209-017-1879-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A geometric flow on (2, 2)-forms is introduced which preserves the balanced condition of metrics, and whose stationary points satisfy the anomaly equation in Strominger systems. The existence of solutions for a short time is established, using Hamilton's version of the Nash-Moser implicit function theorem.
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页码：101 / 113
页数：13
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