[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) …

Generalized Zermelo navigation on Hermitian manifolds with a critical wind

N Aldea, P Kopacz - Results in Mathematics, 2017 - Springer
We study the Zermelo navigation problem on Hermitian manifolds (M, h) in the presence of a
critical perturbation W determined by a complex velocity vector field such that 0<|| W (z) …

Time-extremal navigation in arbitrary winds on conformally flat Riemannian manifolds

N Aldea, P Kopacz - Journal of Optimization Theory and Applications, 2021 - Springer
This paper aims at solving Zermelo's navigation problem on conformally flat Riemannian
manifolds admitting a ship's variable self-speed, under the action of arbitrary winds including …

On conformal complex Finsler metrics

H Li, C Qiu, H Xia, G Zhong - Science China Mathematics, 2022 - Springer
In this paper, we study conformal transformations in complex Finsler geometry. We first
prove that two weakly Kähler Finsler metrics cannot be conformal. Moreover, we give a …

[HTML][HTML] On complex Douglas spaces

N Aldea, G Munteanu - Journal of Geometry and Physics, 2013 - Elsevier
In this paper we survey projective curvature invariants of Douglas type and use these to give
some generalizations for the notion of a complex Berwald space. Various descriptions of …

[HTML][HTML] On projective invariants of the complex Finsler spaces

N Aldea, G Munteanu - Differential Geometry and its Applications, 2012 - Elsevier
In this paper we extend the results on projective changes of complex Finsler metrics
obtained in Aldea and Munteanu (2012)[3], by the study of projective curvature invariants of …

New candidates for a Hermitian approach of gravity

N Aldea, G Munteanu - … Journal of Geometric Methods in Modern …, 2013 - World Scientific
In this paper, some possible candidates for the study of gravity are proposed in terms of
complex Finsler geometry. These mainly concern the complex Hermitian versions of weakly …

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 …

On projective complex Randers changes

N Aldea, G Munteanu - Bulletin of the Transilvania University of …, 2012 - webbut.unitbv.ro
In this paper, we study the relation between complex Randers changes and projective
changes of complex Finsler metrics. We consider complex Randers changes of a …