IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-92297-8_2.html
   My bibliography  Save this book chapter

Projective Structures on Curves and Conformal Geometry

In: Real and Complex Geometry

Author

Listed:
  • Florin Belgun

    (Institute of Mathematics “Simion Stoilow” of the Romanian Academy)

  • Andrei Moroianu

    (Laboratoire de mathématiques d’Orsay, Université Paris-Saclay, CNRS
    Institute of Mathematics “Simion Stoilow” of the Romanian Academy)

Abstract

Projective structures on curves appear naturally in many areas of mathematics, from extrinsic conformal geometry to analysis, where the main problem is to find qualitative information about the solutions of Hill equations. In this paper, we describe in detail the correspondence between different equivalent definitions of projective structures and their isomorphism classes, correcting long-standing inexactitudes in the literature. As an application, we show that the Yamabe problem for curves in a conformal/Möbius ambient space has no solutions in general.

Suggested Citation

  • Florin Belgun & Andrei Moroianu, 2025. "Projective Structures on Curves and Conformal Geometry," Springer Books, in: Liviu Ornea (ed.), Real and Complex Geometry, pages 41-73, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-92297-8_2
    DOI: 10.1007/978-3-031-92297-8_2
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-031-92297-8_2. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.