• Title/Summary/Keyword: Three-dimensional quasi-Sasakian manifold

Search Result 2, Processing Time 0.015 seconds

CLASSIFICATION OF THREE-DIMENSIONAL CONFORMALLY FLAT QUASI-PARA-SASAKIAN MANIFOLDS

  • Erken, Irem Kupeli
    • Honam Mathematical Journal
    • /
    • v.41 no.3
    • /
    • pp.489-503
    • /
    • 2019
  • The aim of this paper is to study three-dimensional conformally flat quasi-para-Sasakian manifolds. First, the necessary and sufficient conditions are provided for three-dimensional quasipara-Sasakian manifolds to be conformally flat. Next, a characterization of three-dimensional conformally flat quasi-para-Sasakian manifold is given. Finally, a method for constructing examples of three-dimensional conformally flat quasi-para-Sasakian manifolds is presented.

h-almost Ricci Solitons on Generalized Sasakian-space-forms

  • Doddabhadrappla Gowda, Prakasha;Amruthalakshmi Malleshrao, Ravindranatha;Sudhakar Kumar, Chaubey;Pundikala, Veeresha;Young Jin, Suh
    • Kyungpook Mathematical Journal
    • /
    • v.62 no.4
    • /
    • pp.715-728
    • /
    • 2022
  • The aim of this article is to study the h-almost Ricci solitons and h-almost gradient Ricci solitons on generalized Sasakian-space-forms. First, we consider h-almost Ricci soliton with the potential vector field V as a contact vector field on generalized Sasakian-space-form of dimension greater than three. Next, we study h-almost gradient Ricci solitons on a three-dimensional quasi-Sasakian generalized Sasakian-space-form. In both the cases, several interesting results are obtained.