IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2019y2019i1n5136758.html

Some Curvature Properties on Lorentzian Generalized Sasakian‐Space‐Forms

Author

Listed:
  • Rongsheng Ma
  • Donghe Pei

Abstract

In this paper, we investigate the Lorentzian generalized Sasakian‐space‐form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian‐space‐form to be projectively flat, conformally flat, conharmonically flat, and Ricci semisymmetric and their relationship between each other. As the application of our theorems, we study the Ricci almost soliton on conformally flat Lorentzian generalized Sasakian‐space‐form.

Suggested Citation

  • Rongsheng Ma & Donghe Pei, 2019. "Some Curvature Properties on Lorentzian Generalized Sasakian‐Space‐Forms," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:5136758
    DOI: 10.1155/2019/5136758
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2019/5136758
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/5136758?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. K. L. Duggal, 1990. "Space time manifolds and contact structures," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 13, pages 1-9, January.
    2. Rakesh Kumar & Rachna Rani & R. K. Nagaich, 2007. "On Sectional Curvatures of ( ε )-Sasakian Manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-8, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yaning Wang & Ximin Liu, 2012. "Generalized Transversal Lightlike Submanifolds of Indefinite Sasakian Manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-17, November.
    2. K. L. Duggal, 2021. "A New Class of Contact Pseudo Framed Manifolds with Applications," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    3. Rakesh Kumar & Varun Jain & R. K. Nagaich, 2011. "GCR‐Lightlike Product of Indefinite Sasakian Manifolds," Advances in Mathematical Physics, John Wiley & Sons, vol. 2011(1).
    4. Elisabetta Barletta & Sorin Dragomir & Francesco Esposito, 2021. "On the Canonical Foliation of an Indefinite Locally Conformal Kähler Manifold with a Parallel Lee Form," Mathematics, MDPI, vol. 9(4), pages 1-15, February.
    5. D. G. Prakasha & M. R. Amruthalakshmi & Fatemah Mofarreh & Abdul Haseeb, 2022. "Generalized Lorentzian Sasakian-Space-Forms with M -Projective Curvature Tensor," Mathematics, MDPI, vol. 10(16), pages 1-14, August.

    More about this item

    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:wly:jnlamp:v:2019:y:2019:i:1:n:5136758. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    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.