An Optimal Transport Approach to Monge–Ampère Equations on Compact Hessian Manifolds-Reference-Cited by-同舟云学术

An Optimal Transport Approach to Monge–Ampère Equations on Compact Hessian Manifolds

Published:2018-07-27 Issue:3 Volume:29 Page:1953-1990
ISSN:1050-6926
Container-title:The Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Hultgren Jakob^ORCID,Önnheim Magnus

Funder

H2020 European Research Council

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1007/s12220-018-0068-5.pdf

Reference27 articles.

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3. Berman, R., Berndtsson, B.: Real monge-ampere equations and kahler-ricci solitons on toric log fano varieties. Annales de la FacultÃ© des Sciences de Toulouse 22(4), 649â€“711 (2013)

4. Brenier, Y.: DÃ©composition polaire et rÃ©arrangement monotone des champs de vecteurs. C. R. Acad. Sci. Paris SÃ©r. I Math. 305(19), 805â€“808 (1987)

5. Caffarelli, L.A., Viaclovsky, J.A.: On the regularity of solutions to monge-ampere equations on hessian manifolds. Commun. Partial Differ. Equ. 26(11â€“12), 2339â€“2351 (2001)

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