IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-981-10-0916-7_2.html
   My bibliography  Save this book chapter

CR-Submanifolds and $$\delta $$ δ -Invariants

In: Geometry of Cauchy-Riemann Submanifolds

Author

Listed:
  • Bang-Yen Chen

    (Michigan State University, Department of Mathematics)

Abstract

Curvature invariants are the $$N^o\,1$$ N o 1 Riemannian invariants and the most natural ones. Curvatures invariants play key roles in physics as well. Classically, among the Riemannian curvature invariants, people have been studying scalar and Ricci curvatures in great detail. On the other hand, the author introduced in the early 1990s, a new type of curvature invariants on Riemannian manifolds, called $$\delta $$ δ -invariants. The $$\delta $$ δ -curvatures are very different in nature from the “classical” scalar and Ricci curvatures. $$\delta $$ δ -invariants are known to play some important roles in several areas in mathematics. In this article, we survey recent results on CR-submanifolds in complex space forms which are related to $$\delta $$ δ -invariants and Riemannian submersions.

Suggested Citation

  • Bang-Yen Chen, 2016. "CR-Submanifolds and $$\delta $$ δ -Invariants," Springer Books, in: Sorin Dragomir & Mohammad Hasan Shahid & Falleh R. Al-Solamy (ed.), Geometry of Cauchy-Riemann Submanifolds, chapter 0, pages 27-55, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-0916-7_2
    DOI: 10.1007/978-981-10-0916-7_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:978-981-10-0916-7_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.