[PDF][PDF] On doubly twisted product of complex Finsler manifolds

W Xiao, Y He, X Lu, X Deng - Journal of Mathematical Study, 2022 - doc.global-sci.org
Let (M1, F1) and (M2, F2) be two strongly pseudoconvex complex Finsler manifolds. The
doubly twisted product (abbreviated as DTP) complex Finsler manifold (M1×(λ1, λ2) M2, F) is …

Locally Conformally Flat Doubly Twisted Product Complex Finsler Manifolds

W Xiao, Y He, S Li, Q Ni - Journal of Mathematics, 2022 - Wiley Online Library
Let M 1× λ 1, λ 2 M 2, F be a doubly twisted product manifold of two strongly pseudoconvex
complex Finsler manifolds (M1, F1) and (M2, F2). In this study, we give a characterization of …

On doubly warped product of complex Finsler manifolds

HE Yong, C Zhong - Acta Mathematica Scientia, 2016 - Elsevier
Abstract Let (M 1, F 1) and (M 2, F 2) be two strongly pseudoconvex complex Finsler
manifolds. The doubly wraped product complex Finsler manifold (f 2 M 1× f 1 M 2, F) of (M 1 …

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) …

Some rigid results on doubly twisted product complex Finsler manifolds

H Xia, W Xiao, C Zhong - Science China Mathematics, 2024 - Springer
Abstract Let (M 1×(λ 1, λ 2) M 2, F) be a doubly twisted product complex Finsler manifold of
two strongly pseudoconvex complex Finsler manifolds (M 1, F 1) and (M 2, F 2). Denote by M …

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 …

Projectively related complex Finsler metrics

N Aldea, G Munteanu - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
In this paper we introduce in study the projectively related complex Finsler metrics. We prove
the complex versions of the Rapcsák's theorem and characterize the weakly Kähler and …

[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 …

[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 …