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Search Results: 1 - 10 of 1651 matches for " Alexandru Oana "
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Ricci identities of the Liouville d-vector fields z^2 and z^2
Oana Alexandru
Mathematics , 2009,
Abstract: It is the purpose of the present paper to outline an introduction in theory of embeddings in the manifold Osc^{2}M. First, we recall the notion of 2-osculator bundle. The second section is dedicated to the notion of submanifold in the total space of the 2-osculator bundle, the manifold Osc^{2}M. A moving frame is constructed. The induced N-linear connections and the relative covariant derivatives are discussed in third and fourth sections. The Ricci identities of the Liouville d-vector fields are present in the last section.
Ricci identities of the Liouville d-vector fields z^(1)alpha and z^(2)alpha
Alexandru Oana
Mathematics , 2012,
Abstract: It is the purpose of the present paper to outline an introduction in theory of embeddings in the manifold Osc^{2}M. First, we recall the notion of 2-osculator bundle. The second section is dedicated to the notion of submanifold in the total space of the 2-osculator bundle, the manifold Osc^{2}M. A moving frame is constructed. The induced N-linear connections and the relative covariant derivatives are discussed in third and fourth sections. The Ricci identities of the Liouville d-vector fields are present in the last section.
About intrinsic Finsler connections for the homogeneous lift to the Osculator Bundle of a Finsler metric
Oana Alexandru
Mathematics , 2013,
Abstract: In this article we present a study of the subspaces of the manifold OscM, the total space of the osculator bundle of a real manifold M. We obtain the induced connections of the canonical metrical N-linear connection determined by the homogeneous prolongation of a Finsler metric to the manifold OscM. We present the relation between the induced and intrinsic geometric objects of the associated osculator submanifold.
Long term observations on the alimentation of wild Eastern Greek Tortoises Testudo graeca ibera (Reptilia: Testudines: Testudinidae) in Dobrogea, Romania
Alexandru Iftime,Oana Iftime
Acta Herpetologica , 2012,
Abstract: The wild diet of Testudo graeca ibera in Dobrogea, Romania is investigated by direct observation. A clear predominance (over 95%) of plant matter is noticed, with 25 plant species consumed. Moreover the ingestion of animal matter (carrion) as well as calcareous earth was observed.
ADMINISTRATIA PUBLICA, TURISMUL SI DEZVOLTAREA DURABILA
Alexandru NEDELEA,Oana DOLIPSCHI
Revista Transilvan? de ?tiin?e Administrative , 2004,
Abstract: Sustainable developmenthas definitions according to the circumstances. In a much visited fragile area of the countryside the focus may be on sustaining the physical environment by public administration taking steps to prevent long-term damage. In another place the accent may be on the role of public administration on sustaining the viability of the local economy, or maintaining the authenticity of the community’s artistic traditions. For an office in a national park, sustainable tourism may mean achieving a proper balance for visitors between access and enjoyment; for a small hotelier it may simply be a question of wanting to ensure the family business survives another year.
Jet Riemann-Hamilton geometrization for the conformal deformed Berwald-Moor quartic metric depending on momenta
Alexandru Oana,Mircea Neagu
Mathematics , 2012,
Abstract: In this paper we expose on the dual 1-jet space J^{1*}(R,M^4) the distinguished (d-) Riemannian geometry (in the sense of d-connection, d-torsions, d-curvatures and some gravitational-like and electromagnetic-like geometrical models) for the (t,x)-conformal deformed Berwald-Moor Hamiltonian metric of order four.
The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M)
Alexandru Oana,Mircea Neagu
Mathematics , 2011,
Abstract: In this paper we describe the local Ricci and Bianchi identities for an h-normal N-linear connection D\Gamma(N) on the dual 1-jet space J^{1*}(T,M). To reach this aim, we firstly give the expressions of the local distinguished (d-) adapted components of torsion and curvature tensors produced by D\Gamma(N), and then we analyze their attached local Ricci identities. The derived deflection d-tensor identities are also presented. Finally, we expose the local expressions of the Bianchi identities (in the particular case of an h-normal N-linear connection of Cartan type), which geometrically connect the local torsion and curvature d-tensors of the linear connection D\Gamma(N).
Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics
Alexandru Oana,Mircea Neagu
Mathematics , 2012,
Abstract: In this paper we develop the distinguished (d-) Riemannian differential geometry (in the sense of d-connections, d-torsions, d-curvatures and some geometrical Maxwell-like and Einstein-like equations) for the polymomentum Hamiltonian which governs the multi-time electrodynamics.
From quadratic Hamiltonians of polymomenta to abstract geometrical Maxwell-like and Einstein-like equations
Alexandru Oana,Mircea Neagu
Mathematics , 2012,
Abstract: The aim of this paper is to create a large geometrical background on the dual 1-jet space J^{1*}(T,M) for a multi-time Hamiltonian approach of the electromagnetic and gravitational physical fields. Our geometric-physical construction is achieved starting only from a given quadratic Hamiltonian function of polymomenta H, which naturally produces a canonical nonlinear connection N, a canonical Cartan N-linear connection C\Gamma(N) and their corresponding local distinguished (d-) torsions and curvatures. In such a context, we construct some geometrical electromagnetic-like and gravitational-like field theories which are characterized by some natural geometrical Maxwell-like and Einstein-like equations. Some abstract and geometrical conservation laws for the multi-time Hamiltonian gravitational physical field are also given.
A distinguished Riemannian geometrization for quadratic Hamiltonians of polymomenta
Alexandru Oana,Mircea Neagu
Mathematics , 2011,
Abstract: In this paper we construct a distinguished Riemannian geometrization on the dual 1-jet space J^{1*}(T,M) for the multi-time quadratic Hamiltonian functions. Our geometrization includes a nonlinear connection N, a generalized Cartan canonical N-linear connection (together with its local d-torsions and d-curvatures), naturally provided by a given quadratic Hamiltonian function depending on polymomenta.
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