scholarly journals Projectively related complex Finsler metrics

2012 ◽  
Vol 13 (5) ◽  
pp. 2178-2187 ◽  
Author(s):  
Nicoleta Aldea ◽  
Gheorghe Munteanu
Keyword(s):  
Finsler Metrics ◽  
Complex Finsler Metrics ◽  
Related Complex

scholarly journals Erratum to: On a Class of Smooth Complex Finsler Metrics

2017 ◽  
Vol 72 (4) ◽  
pp. 2273-2274
Author(s):  
Hongchuan Xia ◽  
Chunping Zhong
Keyword(s):  
Finsler Metrics ◽  
Smooth Complex ◽  
Complex Finsler Metrics

scholarly journals Deformation of complex Finsler metrics

2018 ◽  
Vol 26 (3) ◽  
pp. 229-244
Author(s):  
Annamária Szász-Friedl
Keyword(s):  
Finsler Space ◽  
Linear Connection ◽  
Finsler Metrics ◽  
Infinitesimal Deformation ◽  
Metric Tensor ◽  
First Order ◽  
Special Part ◽  
Non Linear ◽  
Order Deformation ◽  
Complex Finsler Metrics

AbstractThe aim of this paper is to describe the infinitesimal deformation (M, V) of a complex Finsler space family {(M, Lt)}t∈ℝ and to study some of its geometrical objects (metric tensor, non-linear connection, etc). In this circumstances the induced non-linear connection on (M, V) is defined. Moreover we have elaborate the inverse problem, the problem of the first order deformation of the metric. A special part is devoted to the study of particular cases of the perturbed metric.

On complex Berwald metrics which are not conformal changes of complex Minkowski metrics

2018 ◽  
Vol 18 (3) ◽  
pp. 373-384 ◽  
Author(s):  
Hongchuan Xia ◽  
Chunping Zhong
Keyword(s):  
Sufficient Conditions ◽  
Finsler Metrics ◽  
Hermitian Metrics ◽  
Strongly Convex ◽  
Projectively Flat ◽  
Convex Case ◽  
Minkowski Metrics ◽  
Complex Finsler Metrics ◽  
Necessary And Sufficient

AbstractWe investigate a class of complex Finsler metrics on a domain D ⊂ ℂn. Necessary and sufficient conditions for these metrics to be strongly pseudoconvex complex Finsler metrics, or complex Berwald metrics, are given. The complex Berwald metrics constructed in this paper are neither trivial Hermitian metrics nor conformal changes of complex Minkowski metrics. We give a characterization of complex Berwald metrics which are of isotropic holomorphic curvatures, and also give characterizations of complex Finsler metrics of this class to be Kähler Finsler or weakly Kähler Finsler metrics. Moreover, in the strongly convex case, we give characterizations of complex Finsler metrics of this class to be projectively flat Finsler metrics or dually flat Finsler metrics.

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