New York Journal of Mathematics
Volume 19 (2013) 565-582

  

Morgan Sherman and Ben Weinkove

Local Calabi and curvature estimates for the Chern-Ricci flow

view    print


Published: September 19, 2013
Keywords: Chern-Ricci flow, Kähler-Ricci flow, Chern connection, Chern curvature, Calabi estimate
Subject: 53C44, 53C55 (primary)

Abstract
Assuming local uniform bounds on the metric for a solution of the Chern-Ricci flow, we establish local Calabi and curvature estimates using the maximum principle.

Acknowledgements

Supported in part by NSF grant DMS-1105373. Part of this work was carried out while the second-named author was a member of the mathematics department of the University of California, San Diego.


Author information

Morgan Sherman:
Department of Mathematics, California Polytechnic State University, San Luis Obispo, CA 93407
sherman1@calpoly.edu

Ben Weinkove:
Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208
weinkove@math.northwestern.edu