Solvability of the quaternionic Monge–Ampère equation on compact manifolds with a flat hyperKähler metric-Reference-Cited by-同舟云学术

Solvability of the quaternionic Monge–Ampère equation on compact manifolds with a flat hyperKähler metric

Published:2013-07 Issue: Volume:241 Page:192-219
ISSN:0001-8708
Container-title:Advances in Mathematics
language:en
Short-container-title:Advances in Mathematics

Author:

Alesker Semyon

Funder

ISF

Publisher

Elsevier BV

Subject

General Mathematics

Reference30 articles.

1. Zur Theorie der gemichten Volumina von konvexen Körpern, IV. Die gemischten Diskriminanten und die gemischten Volumina;Aleksandrov;Mat. Sbornik N.S.,1938

2. Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables;Alesker;Bull. Sci. Math.,2003

3. Quaternionic Monge–Ampère equations;Alesker;J. Geom. Anal.,2003

4. S. Alesker, E. Shelukhin, On a uniform estimate for the quaternionic Calabi problem, Israel J. Math. (in press). Also: arXiv:1111.0403.

5. Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry;Alesker;J. Geom. Anal.,2006

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