Geometric flows and Strominger systems

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 t...

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Bibliographic Details
Published in:Mathematische Zeitschrift Vol. 288; no. 1-2; pp. 101 - 113
Main Authors: Phong, Duong H., Picard, Sebastien, Zhang, Xiangwen
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2018
Springer Nature B.V
Subjects:
Mathematics
Mathematics and Statistics
Balanced metrics
Nash–Moser implicit function theorem
Anomaly equation
ISSN:0025-5874, 1432-1823
Online Access:Get full text
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Summary: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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ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-017-1879-y