[HTML][HTML] Generalized Zermelo navigation on Hermitian manifolds under mild wind
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) …
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
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) …
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
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
changes of complex Finsler metrics. We consider complex Randers changes of a …