1.8k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT627 papers
- Heidelberg UniversityDE626 papers
- West University of TimişoaraRO626 papers
- Brookhaven National LaboratoryUS625 papers
- Chinese University of Hong KongHK625 papers
- European Organization for Nuclear ResearchCH625 papers
- Jagiellonian UniversityPL625 papers
- National Institute for Subatomic PhysicsNL625 papers
- National Technical University of AthensGR625 papers
- University of ArizonaUS625 papers
- University of Hong KongHK625 papers
- University of ManchesterGB625 papers
27 papers · 1 filter
A general model for time-minimizing navigation on a mountain slope under gravity
Nicoleta Aldea, Piotr Kopacz
In this work, we solve the generalized Matsumoto's slope-of-a-mountain problem by means of Riemann-Finsler geometry, making close links with the Zermelo navigation problem. The tim…
Time geodesics on a slippery cross slope under gravitational wind
Nicoleta Aldea, Piotr Kopacz
In this work, we pose and solve the time-optimal navigation problem considered on a slippery mountain slope modeled by a Riemannian manifold of an arbitrary dimension, under the ac…
Metrizability of SO(3)-invariant connections: Riemann versus Finsler
Nicoleta Voicu, Salah Gomaa Elgendi
For a torsion-free affine connection on a given manifold, which does not necessarily arise as the Levi-Civita connection of any pseudo-Riemannian metric, it is still possible that…
Birkhoff Theorem for Berwald Finsler spacetimes
Nicoleta Voicu, Christian Pfeifer, Samira Cheraghchi
Finsler spacetime geometry is a canonical extension of Riemannian spacetime geometry. It is based on a general length measure for curves (which does not necessarily arise from a sp…
The Finsler spacetime condition for (α,β)-metrics and their isometries
Nicoleta Voicu, Annamária Friedl-Szász, Elena Popovici-Popescu +1
For the general class of pseudo-Finsler spaces with -metrics, we establish necessary and sufficient conditions such that these admit a Finsler spacetime structure. This mean…
Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces
Samira Cheraghchi, Christian Pfeifer, Nicoleta Voicu
We locally classify all SO(3)-invariant 4-dimensional pseudo-Finsler Berwald structures. These are Finslerian geometries which are closest to (spatially, or SO(3))-spherically symm…
On the non metrizability of Berwald Finsler spacetimes
Andrea Fuster, Sjors Heefer, Christian Pfeifer +1
We investigate whether Szabo's metrizability theorem can be extended to Finsler spaces of indefinite signature. For smooth, positive definite Finsler metrics, this important theore…
Conformal maps between pseudo-Finsler spaces
Nicoleta Voicu
The paper aims to initiate a systematic study of conformal mappings between Finsler spacetimes and, more generally, between pseudo-Finsler spaces. This is done by extending several…
Generalized Zermelo navigation on Hermitian manifolds under mild wind
Nicoleta Aldea, Piotr Kopacz
We generalize and study the Zermelo navigation problem on Hermitian manifolds in the presence of a perturbation determined by a mild complex velocity vector field $||W(z)||_h<|…
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…
Volume forms for time orientable Finsler spacetimes
Nicoleta Voicu
The paper proposes extensions of the usual notions of Finslerian volume to time orientable Finsler spacetime manifolds. The basic idea is to replace, in the classical Busemann-Haus…
Recent results on complex Cartan spaces
Nicoleta Aldea, Gheorghe Munteanu
In this paper, we first provide an updated survey of the geometry of complex Cartan spaces. New characterizations for some particular classes of complex Cartan spaces are pointed o…
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…
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 the symmetry group of the n-dimensional Berwald-Moor metric
Hengameh Raeisi-Dehkordi, Mircea Neagu
In this paper we parametrize the symmetry group of the n-dimensional Berwald-Moor metric. Some properties of this Lie group are studied, and its corresponding Lie algebra is comput…
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…
From a dynamical system of the knee to natural jet geometrical objects
Mircea Neagu, Mihaela Maria Marin
In this paper we construct some natural geometrical objects on the 1-jet space J^1(R,R^3), like a nonlinear connection, a Cartan linear connection (together with its d-torsions and…
Jet Finslerian geometry of the conformal Minkowski metric
Vladimir Balan, Mircea Neagu
The paper develops the Finsler-like geometry on the 1-jet space for the jet conformal Minkowski (JCM) metric, which naturally extends the Minkowski metric in the Chernov-Pavlov fra…
On complex Landsberg and Berwald spaces
Nicoleta Aldea, Gheorghe Munteanu
In this paper, we study the complex Landsberg spaces and some of their important subclasses. We introduce and characterize the class of generalized Berwald and complex Landsberg sp…
Horizontal Forms of Chern Type on Complex Finsler Bundles
Cristian Ida
The aim of this paper is to construct horizontal Chern forms of a holomorphic vector bundle using complex Finsler structures. Also, some properties of these forms are studied.