Prescription of Gauss curvature using optimal mass transport

Author:

Bertrand Jérôme

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference25 articles.

1. Aleksandrov, A.D.: Existence and uniqueness of a convex surface with a given integral curvature. C. R. (Dokl.) Acad. Sci. URSS (NS) 35, 131–134 (1942) (English)

2. Alexandrov, A.D.: Convex Polyhedra, Springer Monographs in Mathematics. Springer, Berlin (2005) Translated from the 1950 Russian edition by Dairbekov, N.S. Kutateladze, S.S., Sossinsky, A.B., With comments and bibliography by Zalgaller, V.A., appendices by Shor, L.A., Volkov Y.A

3. Bakelman, I.J.: Convex Analysis and Nonlinear Geometric Elliptic Equations, Springer, Berlin, With an obituary for the author by William Rundell, Edited by Taliaferro, Steven D. (1994)

4. Barbot, T., Béguin, F., Zeghib, A.: Prescribing gauss curvature of surfaces in 3-dimensional spacetimes, application to the minkowski problem in the minkowski space. Ann. Inst. Fourier (To appear). http://arxiv.org/abs/0804.1053v1

5. Bertrand, J.: Prescription of Gauss curvature on compact hyperbolic orbifolds. Discrete Contin. Dyn. Syst. 34(4), 1269–1284 (2014)

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Gauss Image Problem with weak Aleksandrov condition;Journal of Functional Analysis;2024-12

2. Prescribing the gauss curvature of convex bodies in hyperbolic space;Calculus of Variations and Partial Differential Equations;2023-08-28

3. On the existence of solutions to the Orlicz Aleksandrov problem;Geometriae Dedicata;2023-04-21

4. A flow method to the Orlicz-Aleksandrov problem;Journal of Functional Analysis;2023-03

5. The $$L_p$$ Gauss image problem;Geometriae Dedicata;2022-08-21

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3