Results 1 to 10 of about 3,447,966 (227)
*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
Open Mathematics, 2019 Let (M, g) be a non-Kenmotsu (κ, μ)′-almost Kenmotsu manifold of dimension 2n + 1. In this paper, we prove that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is ...
Dai Xinxin, Zhao Yan, Chand De Uday
doaj +2 more sources
On infinitesimal conformal and projective transformations of normal contact spaces
Tohoku Mathematical Journal, 1962 Introduction. In the previous paper [ 4 ]° the author discussed some properties of normal contact spaces. However, problems concerning infinitesimal transformations have not been studied. In the present paper such problems are concerned and some satisfactory answers are given. In § 1, we state the fundamental identities of normal contact spaces. In § 2,
Masafumi Okumura
openaire +4 more sources
CONFORMAL INFINITESIMAL TRANSFORMATIONS IN AN ALMOST r-CONTACT HYPERBOLIC PRODUCT MANIFOLD
Demonstratio Mathematica, 1986 The authors give necessary and sufficient conditions for a vector field to be an infinitesimal conformal transformation in an almost r-contact hyperbolic manifold defined by \textit{K. K. Dube} and \textit{R. Niwas} [Demonstr. Math. 11, 887-897 (1978; Zbl 0402.53020)].
Pant, Jaya, Upadhyay, Anoop
openaire +4 more sources
Certain infinitesimal transformation of normal contact metric manifold
Kodai Mathematical Journal, 1966 Introduction. In the previous paper [2], the author studied infinitesimal conformal and projective transformations of normal contact metric manifold. In the present paper, we study certain infinitesimal transformation of normal contact metric manifold and prove the following THEOREM 1.
Masafumi Okumura
openaire +5 more sources
Note on infinitesimal transformations over contact manifolds
Tohoku Mathematical Journal, 1962 Shukichi Tanno
openaire +4 more sources
Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
doaj +1 more source
Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
Fractal and Fractional, 2023 This article presents some results of a geometric classification of Sasakian manifolds (SM) that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X). First, we show that a complete SM equipped with an almost ∗-RS with ω≠ const is a unit sphere.
Vladimir Rovenski, Dhriti Sundar Patra
doaj +1 more source
Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
doaj +1 more source
Invariants and Infinitesimal Transformations for Contact Sub-Lorentzian Structures on 3-Dimensional Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 In this article we develop some elementary aspects of a theory of symmetry in sub-Lorentzian geometry. First of all we construct invariants characterizing isometric classes of sub-Lorentzian contact 3 manifolds. Next we characterize vector fields which generate isometric and conformal symmetries in general sub-Lorentzian manifolds.
Grochowski, M., Warhurst, B.
openaire +3 more sources
Certain results for η-Ricci Solitons and Yamabe Solitons on quasi-Sasakian 3-Manifolds
Cubo, 2019 We classify quasi-Sasakian 3-manifold with proper η-Ricci soliton and investigate its geometrical properties. Certain results of Yamabe soliton on such manifold are also presented.
Sunil Kumar Yadav +2 more
doaj +1 more source