4 citations · 10 across the 13 of their papers we have counts for
15 papers
Coeffective basic cohomologies of --contact and Sasakian manifolds
Cristian Ida, Paul Popescu
In this paper we define coeffective de Rham cohomology for basic forms on a --contact or Sasakian manifold and we discuss its relation with usually basic cohomology of .…
Holomorphic last multipliers on complex manifolds
Mircea Crasmareanu, Cristian Ida, Paul Popescu
The goal of this paper is to study the theory of last multipliers in the framework of complex manifolds with a fixed holomorphic volume form. The motivation of our study is based o…
A note on para-holomorphic Riemannian Einstein manifolds
Cristian Ida, Alexandru Ionescu, Adelina Manea
The aim of this note is the study of Einstein condition for para-holomorphic Riemannian metrics in the para-complex geometry framework. Firstly, we make some general considerations…
Contact structures on Lie algebroids
Cristian Ida, Paul Popescu
In this paper we generalize the main notions from the geometry of (almost) contact manifolds in the category of Lie algebroids. Also, using the framework of generalized geometry, w…
An -differentiable cohomology induced by a vector field
Mircea Crasmareanu, Cristian Ida, Paul Popescu
A new cohomology, induced by a vector field, is defined on pairs of differential forms (--differentiable forms) in a manifold. It is proved a link with the classical de Rham coh…
Nonlinear constraints in nonholonomic mechanics
Paul Popescu, Cristian Ida
In this paper we have obtained some dynamics equations, in the presence of nonlinear nonholonomic constraints and according to a lagrangian and some Chetaev-like conditions. Using…
Vertical Liouville foliations on the big-tangent manifold of a Finsler space
Cristian Ida, Paul Popescu
The present paper unifies some aspects concerning the vertical Liouville distributions on the tangent (cotangent) bundle of a Finsler (Cartan) space in the context of generalized g…
Generalized almost paracontact structures
Adara M. Blaga, Cristian Ida
The notion of generalized almost paracontact structure on the generalized tangent bundle is introduced and its properties are investigated. The case when the manifo…
Godbillon-Vey classes of a family of regular foliations
Cristian Ida, Paul Popescu
The aim of the paper is to construct some Godbillon-Vey classes of a family of regular foliations, defined in the paper. These classes are cohomology classes on the manifold or on…
On almost complex Lie algebroids
Cristian Ida, Paul Popescu
The almost complex Lie algebroids over smooth manifolds are introduced in the paper. In the first part we give some examples and we obtain a Newlander-Nirenberg type theorem on alm…
Adapted basic connections to a certain subfoliation on the tangent manifold of a Finsler space
Adelina Manea, Cristian Ida
On the slit tangent manifold of a Finsler space there are given some natural foliations as vertical foliation and some other fundamental foliations produced by the v…
A vertical Liouville subfoliation on the cotangent bundle of a Cartan space and some related structures
Cristian Ida, Adelina Manea
In this paper we study some problems related to a vertical Liouville distribution (called vertical Liouville-Hamilton distribution) on the cotangent bundle of a Cartan space. We st…
On a Lichnerowicz type cohomology attached to a function
Cristian Ida
In this paper we define a new cohomology of a smooth manifold called Lichnerowicz type cohomology attached to a function. Firstly, we study some basic properties of this cohomology…
A note on the basic Lichnerowicz cohomology of transversally locally conformally Kählerian foliations
Cristian Ida
In this paper we generalize the basic Lichnerowicz cohomology on transversally locally conformally Kählerian foliations and we study its relation with basic Bott-Chern cohomology a…
On tangential cohomology attached to a function on complex foliations
Cristian Ida
In this note we study a new cohomology attached to a function along the leaves of complex foliations. We also explain how this cohomology depends on the function and we study a rel…