498 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- European Organization for Nuclear ResearchCH625 papers
- Northern Illinois UniversityUS620 papers
- University of OklahomaUS619 papers
- Ludwig-Maximilians-Universität MünchenDE618 papers
- Max Planck Institute for PhysicsDE618 papers
- The University of AdelaideAU618 papers
- University of Rome Tor VergataIT618 papers
- Technion – Israel Institute of TechnologyIL617 papers
- Tel Aviv UniversityIL617 papers
- Université Paris-SaclayFR617 papers
- University of BonnDE617 papers
- University of California, Santa CruzUS617 papers
75 papers · 1 filter
Homogeneity of magnetic trajectories in the Berger sphere
Jun-ichi Inoguchi, Marian Ioan Munteanu
We study the homogeneity of contact magnetic trajectories in naturally reductive Berger spheres. We prove that every contact magnetic trajectory is a product of a homogeneous geode…
Strong Hamel functions and symmetries
Ioan Bucataru, Georgeta Cretu
For the geodesic spray of a Finsler space, a strong Hamel function is a Hamel function that is the geodesic derivative of a -homogeneous potential function. Similarly, strong du…
Homogeneity of magnetic trajectories in the real special linear group
Jun-ichi Inoguchi, Marian Ioan Munteanu
We prove the homogeneity of contact magnetic curves in the real special linear group of degree . Every contact magnetic trajectory is a product of a homogeneous geodesic and a c…
Finsler metrizabilities and geodesic invariance
Ioan Bucataru, Oana Constantinescu
We prove that various Finsler metrizability problems for sprays can be reformulated in terms of the geodesic invariance of two tensors (metric and angular). We show that gyroscopic…
Polyharmonic surfaces in -dimensional homogeneous spaces
Stefano Montaldo, Cezar Oniciuc, Andrea Ratto
In the first part of this paper we shall classify proper triharmonic isoparametric surfaces in 3-dimensional homogeneous spaces (Bianchi-Cartan-Vranceanu spaces, shortly BCV-spaces…
First integrals for Finsler metrics with vanishing -curvature
Ioan Bucataru, Oana Constantinescu, Georgeta Cretu
We prove that in a Finsler manifold with vanishing -curvature (in particular with constant flag curvature) some non-Riemannian geometric structures are geodesically invariant an…
Closed Biconservative Hypersurfaces in Spheres
Stefano Montaldo, Cezar Oniciuc, Alvaro Pampano
We characterise the profile curves of non-CMC biconservative rotational hypersurfaces of space forms as -elastic curves, for a suitable rational number wh…
On the second variation of the biharmonic Clifford torus in S^4
Stefano Montaldo, Cezar Oniciuc, Andrea Ratto
The flat torus admits a proper biharmonic isometric immersion into the unit $…
Invariant volume forms and first integrals for geodesically equivalent Finsler metrics
Ioan Bucataru
Two geodesically (projectively) equivalent Finsler metrics determine a set of invariant volume forms on the projective sphere bundle. Their proportionality factors are geodesically…
Magnetic unit vector fields
Jun-ichi Inoguchi, Marian Ioan Munteanu
We show that a unit vector field on an oriented Riemannian manifold is a critical point of the Landau Hall functional if and only if it is a critical point of the Dirichlet energy…
Polyharmonic hypersurfaces into pseudo-Riemannian space forms
V. Branding, S. Montaldo, C. Oniciuc +1
In this paper we shall assume that the ambient manifold is a pseudo-Riemannian space form of dimension and index ( and ). We shall…
A class of Finsler metrics admitting first integrals
Ioan Bucataru, Oana Constantinescu, Georgeta Cretu
We use two non-Riemannian curvature tensors, the -curvature and the mean Berwald curvature to characterise a class of Finsler metrics admitting first integrals.
Unique continuation properties for polyharmonic maps between Riemannian manifolds
Volker Branding, Stefano Montaldo, Cezar Oniciuc +1
Polyharmonic maps of order k (briefly, k-harmonic maps) are a natural generalization of harmonic and biharmonic maps. These maps are defined as the critical points of suitable high…
Polyharmonic hypersurfaces into space forms
S. Montaldo, C. Oniciuc, A. Ratto
In this paper we shall assume that the ambient manifold is a space form and we shall consider polyharmonic hypersurfaces of order (briefly, -harmonic), where $r…
An Algebraic Characterisation for Finsler Metrics of Constant Flag Curvature
Ioan Bucataru, Dan Gregorian Fodor
In this paper we prove that a Finsler metrics has constant flag curvature if and only if the curvature of the induced nonlinear connection satisfies an algebraic identity with resp…
New classes of projectively related Finsler metrics of constant flag curvature
Georgeta Cretu
We define a Weyl-type curvature tensor of -type to provide a characterization for Finsler metrics of constant flag curvature. This Weyl-type curvature tensor is projective i…
Higher order energy functionals
Volker Branding, Stefano Montaldo, Cezar Oniciuc +1
The study of higher order energy functionals was first proposed by Eells and Sampson in 1965 and, later, by Eells and Lemaire in 1983. These functionals provide a natural generaliz…
A general version of Beltrami's theorem in Finslerian setting
Ioan Bucataru, Georgeta Creţu
We present a new proof of a Finslerian version of Beltrami's theorem (1865) which works also in dimension 2.
Index and nullity of proper biharmonic maps in spheres
S. Montaldo, C. Oniciuc, A. Ratto
In recent years, the study of the bienergy functional has attracted the attention of a large community of researchers, but there are not many examples where the second variation of…
Magnetic curves in the real special linear group
Juni-ichi Inoguchi, Marian Ioan Munteanu
We investigate contact magnetic curves in the real special linear group of degree 2. They are geodesics of the Hopf tubes over the projection curve. We prove that periodic contact…
A characterisation for Finsler metrics of constant curvature and a Finslerian version of Beltrami Theorem
Ioan Bucataru, Georgeta Creţu
We define a Weyl-type curvature tensor that provides a characterisation for Finsler metrics of constant flag curvature. When the Finsler metric reduces to a Riemannian metric, the…
Unique continuation theorems for biharmonic maps
Volker Branding, Cezar Oniciuc
We prove several unique continuation results for biharmonic maps between Riemannian manifolds.
Alternative Lagrangians obtained by scalar deformations
Oana A. Constantinescu, Ebtsam H. Taha
We study non-conservative like SODEs admitting explicit Lagrangian descriptions. Such systems are equivalent to the system of Lagrange equations of some Lagrangian , including a…
Frobenius integrability and Finsler metrizability for -dimensional sprays
Ioan Bucataru, Georgeta Creţu, Ebtsam H. Taha
For a -dimensional non-flat spray we associate a Berwald frame and a -dimensional distribution that we call the Berwald distribution. The Frobenius integrability of the Berwa…