Open problems and questions about geodesics

被引:18
|
作者
Burns, Keith [1 ]
Matveev, Vladimir S. [2 ]
机构
[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA
[2] Friedrich Schiller Univ Jena, Inst Math, D-07743 Jena, Germany
关键词
geodesics; closed geodesic; entropy; integrable geodesic flows; projectively equivalent metrics; POSITIVE TOPOLOGICAL-ENTROPY; MARKED LENGTH-SPECTRUM; CLOSED GEODESICS; BOUNDARY RIGIDITY; LORENTZIAN MANIFOLDS; POLYNOMIAL INTEGRALS; RIEMANNIAN MANIFOLD; OBATA CONJECTURE; CONJUGATE-POINTS; MINIMAL ENTROPY;
D O I
10.1017/etds.2019.73
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The paper surveys open problems and questions related to geodesics defined by Riemannian, Finsler, semi-Riemannian and magnetic structures on manifolds. It is an extended report on problem sessions held during the International Workshop on Geodesics in August 2010 at the Chern Institute of Mathematics in Tianjin.
引用
收藏
页码:641 / 684
页数:44
相关论文
共 50 条
  • [21] Geodesics in open universes
    Astronomy Centre, University of Sussex, Brighton BN1 9QH, United Kingdom
    不详
    Phys Lett Sect A Gen At Solid State Phys, 3 (169-174):
  • [22] Open questions: what about the 'other' Rho GTPases?
    Ridley, Anne J.
    BMC BIOLOGY, 2016, 14
  • [23] Open scientific questions about nuclear glass corrosion
    Gin, S.
    2ND INTERNATIONAL SUMMER SCHOOL ON NUCLEAR GLASS WASTEFORM: STRUCTURE, PROPERTIES AND LONG-TERM BEHAVIOR (SUMGLASS 2013), 2014, 7 : 163 - 171
  • [24] Open questions: what about the ‘other’ Rho GTPases?
    Anne J. Ridley
    BMC Biology, 14
  • [25] Some Open Questions About the Anisotropic Random Walks
    Csaki, Endre
    Foldes, Antonia
    ENTROPY, 2024, 26 (12)
  • [26] 20 Open questions about deformations of compactifiable manifolds
    Edoardo Ballico
    Elizabeth Gasparim
    Francisco Rubilar
    São Paulo Journal of Mathematical Sciences, 2021, 15 : 661 - 681
  • [27] What about dreams? State of the art and open questions
    Scarpelli, Serena
    Alfonsi, Valentina
    Gorgoni, Maurizio
    De Gennaro, Luigi
    JOURNAL OF SLEEP RESEARCH, 2022, 31 (04)
  • [28] Answers to 18 Questions About Open Science Practices
    Banks, George C.
    Field, James G.
    Oswald, Frederick L.
    O'Boyle, Ernest H.
    Landis, Ronald S.
    Rupp, Deborah E.
    Rogelberg, Steven G.
    JOURNAL OF BUSINESS AND PSYCHOLOGY, 2019, 34 (03) : 257 - 270
  • [29] 20 Open questions about deformations of compactifiable manifolds
    Ballico, Edoardo
    Gasparim, Elizabeth
    Rubilar, Francisco
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2021, 15 (02): : 661 - 681
  • [30] Open questions about the effects of ground warming on infrastructure
    Alessandro F. Rotta Loria
    Nature Cities, 2024, 1 (12): : 804 - 807