Results 11 to 20 of about 495 (45)

On N(k)-contact metric manifolds satisfying certain conditions

SUT Journal of Mathematics, 2008
We classify N(k)-contact metric manifolds satisfying the conditions Z(»;X) ¢ C0 = 0, C0(»;X) ¢ Z = 0 and Ce(»;X) ¢ Z = 0, where Z;C0 and Ce denote the concircular curvature tensor, the contact conformal curvature tensor and the extended contact conformal
Sibel Sular
semanticscholar   +1 more source

Submanifolds of F‐structure manifold satisfying FK + (−)K+1F = 0

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 3, Page 167-172, 2001., 2001
The purpose of this paper is to study invariant submanifolds of an n‐dimensional manifold M endowed with an F‐structure satisfying FK + (−)K+1F = 0 and FW + (−)W+1F ≠ 0 for 1 < W < K, where K is a fixed positive integer greater than 2. The case when K is odd (≥3) has been considered in this paper.
Lovejoy S. Das
wiley   +1 more source

A Study of W2 - Curvature Tensor of a N(k) - Quasi Einstein Manifold

, 2015
In this paper, the study of W2 -curvature tensor in N(k) -quasi Einstein manifold satisfying W2(E,X).W2 = 0 is carried out. Mathematics subject is classification : 53C25, 53D10, 53D15.
M. Dwivedi
semanticscholar   +1 more source

Contact metric manifolds with large automorphism group and (κ, µ)-spaces

Complex Manifolds, 2019
We discuss the classifiation of simply connected, complete (κ, µ)-spaces from the point of view of homogeneous spaces. In particular, we exhibit new models of (κ, µ)-spaces having Boeckx invariant -1.
Lotta Antonio
doaj   +1 more source

Geometry of 3-Dimensional Trans-Sasakaian Manifolds

, 2014
In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type (α, β) to be homothetic to a Sasakian manifold.
Sharief Deshmukh
semanticscholar   +1 more source

Strongly pseudo-convex CR space forms

Complex Manifolds, 2019
For a contact manifold, we study a strongly pseudo-convex CR space form with constant holomorphic sectional curvature for the Tanaka-Webster connection.
Cho Jong Taek
doaj   +1 more source

Universal Prolongation of Linear Partial Differential Equations on Filtered Manifolds [PDF]

, 1969
The aim of this article is to show that systems of linear partial differential equations on filtered manifolds, which are of weighted finite type, can be canonically rewritten as first order systems of a certain type.
Neusser, Katharina
core   +3 more sources

D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Annales Mathematicae Silesianae, 2019
In this paper we study the nature of Ricci solitons in D-homo-thetically deformed Kenmotsu manifolds. We prove that η -Einstein Kenmotsu metric as a Ricci soliton remains η -Einstein under D-homothetic deformation and the scalar curvature remains ...
Kumar D.L. Kiran, Nagaraja H.G., Venu K.
doaj   +1 more source

Generalized almost paracontact structures

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
The notion of generalized almost paracontact structure on the generalized tangent bundle TM ⊕ T* M is introduced and its properties are investigated.
Blaga Adara M., Ida Cristian
doaj   +1 more source

A dimensional restriction for a class of contact manifolds

Demonstratio Mathematica, 2017
In this work we consider a class of contact manifolds (M, η) with an associated almost contact metric Structure (ϕ, ξ, η, g). This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class C9 ⊕ C10 defined by Chinea and ...
Loiudice Eugenia
doaj   +1 more source