IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i23p4614-d994304.html
   My bibliography  Save this article

Evolution for First Eigenvalue of L T,f on an Evolving Riemannian Manifold

Author

Listed:
  • Apurba Saha

    (Department of Mathematics, The University of Burdwan, Golapbag Campu, Burdwan 713104, India)

  • Shahroud Azami

    (Department of Pure Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin 34148-96818, Iran)

  • Daniel Breaz

    (Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania)

  • Eleonora Rapeanu

    (“Mircea cel Batran” Naval Academy, 900218 Constanta, Romania)

  • Shyamal Kumar Hui

    (Department of Mathematics, The University of Burdwan, Golapbag Campu, Burdwan 713104, India)

Abstract

In this paper, evolution formulas for the first non-zero eigenvalue of the operator L T , f on a weighted closed Riemannian manifold along the Ricci flow as well as along the Yamabe flow are formulated. Some monotonic quantities are also derived for the normalized Ricci flow on Bianchi classes.

Suggested Citation

  • Apurba Saha & Shahroud Azami & Daniel Breaz & Eleonora Rapeanu & Shyamal Kumar Hui, 2022. "Evolution for First Eigenvalue of L T,f on an Evolving Riemannian Manifold," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4614-:d:994304
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/23/4614/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/23/4614/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:10:y:2022:i:23:p:4614-:d:994304. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.