[HTML][HTML] Generalized Zermelo navigation on Hermitian manifolds under mild wind

N Aldea, P Kopacz - Differential Geometry and its Applications, 2017 - Elsevier
We generalize and study the Zermelo navigation problem on Hermitian manifolds in the
presence of a perturbation W determined by a mild complex velocity vector field‖ W (z) …

[PDF][PDF] On some classes of R-complex Hermitian Finsler spaces

N Aldea, G Câmpean - J. Korean Math. Soc, 2015 - academia.edu
In this paper, we investigate the R-complex Hermitian Finsler spaces, emphasizing the
differences that separate them from the complex Finsler spaces. The tools used in this study …

A generalized Schrödinger equation via a complex Lagrangian of electrodynamics

N Aldea, G Munteanu - Journal of Nonlinear Mathematical Physics, 2015 - Springer
In this paper we give a generalized form of the Schrödinger equation in the relativistic case,
which contains a generalization of the Klein-Gordon equation. By complex Legendre …

Zermelo deformation of Hermitian metrics by holomorphic vector fields

N Aldea - Results in Mathematics, 2020 - Springer
In this paper we first present the real homogeneous complex Finsler metrics (R R-complex
Finsler metrics) and make use of them to generalize the Zermelo navigation on Hermitian …

ℝ-complex Hermitian (α, β)-metrics

G Campean, M Purcaru - Bulletin of the Transilvania University of …, 2014 - webbut.unitbv.ro
In this paper, we extend the known results on ℝ-complex Hermitian Finsler spaces from [4],
by the study of three special ℝ-complex Hermitian Finsler spaces with (α, β)-metrics. We …

On the volume of the indicatrix of a complex Finsler space

E Popovici - Turkish Journal of Mathematics, 2017 - journals.tubitak.gov.tr
Following the study on volume of indicatrices in a real Finsler space, in this paper we are
investigating some volume properties of the indicatrix considered in an arbitrary fixed point …

On the class of complex Douglas-Kropina spaces

N Aldea, G Munteanu - Bulletin of the Korean Mathematical …, 2018 - koreascience.kr
In this paper, considering the class of complex Kropina metrics we obtain the necessary and
sufficient conditions that these are generalized Berwald and complex Douglas metrics …

Geodesic Curves on -Complex Finsler Spaces

N Aldea, G Câmpean - Results in Mathematics, 2016 - Springer
The main propose of this paper is to investigate the geodesic curves on a strongly convex R
R-complex Finsler space (M, F). We survey the first variation of the length integral associated …

The main invariants of a complex Finsler space

N Aldea, G Munteanu - Acta Mathematica Scientia, 2014 - Elsevier
In this paper we extend the results obtained in [3], where are investigated the general
settings of the two-dimensional complex Finsler manifolds, with respect to a local complex …

ON PURELY HERMITIAN R-COMPLEX FINSLER SPACE WITH (α, β)-METRIC.

KS Venkatesha… - Journal of the …, 2021 - search.ebscohost.com
In the present paper we established some interesting results on purely Hermitian R-complex
Finsler space with (α, β)-metrics, Firstly we characterize the conditions for the (α, β)-metric …