[HTML][HTML] On complex Landsberg and Berwald spaces

N Aldea, G Munteanu - Journal of Geometry and Physics, 2012 - Elsevier
In this paper, we study complex Landsberg spaces and some of their important subclasses.
The tools of this study are the Chern–Finsler, Berwald, and Rund complex linear …

[HTML][HTML] On real and complex Berwald connections associated to strongly convex weakly Kähler–Finsler metric

C Zhong - Differential Geometry and its Applications, 2011 - Elsevier
In this paper, we give a definition of weakly complex Berwald metric and prove that,(i) a
strongly convex weakly Kähler–Finsler metric F on a complex manifold M is a weakly …

[HTML][HTML] Characterizations of complex Finsler connections and weakly complex Berwald metrics

L Sun, C Zhong - Differential Geometry and its Applications, 2013 - Elsevier
Let M be a complex manifold endowed with a strongly pseudoconvex complex Finsler metric
F. In this paper, characterizations of the complex Rund connection, complex Berwald …

[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 …

[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 …

On two-dimensional complex Finsler manifolds

N Aldea, G Munteanu - arXiv preprint arXiv:1010.3409, 2010 - arxiv.org
arXiv:1010.3409v1 [math.DG] 17 Oct 2010 On two - dimensional complex Finsler manifolds
Page 1 arXiv:1010.3409v1 [math.DG] 17 Oct 2010 On two - dimensional complex Finsler …

About intrinsic Finsler connections for the homogeneous lift to the osculator bundle of a Finsler metric

O Alexandru - arXiv preprint arXiv:1302.2165, 2013 - arxiv.org
In this article we present a study of the subspaces of the manifold OscM, the total space of
the osculator bundle of a real manifold M. We obtain the induced connections of the …

[PDF][PDF] 复Finsler 子流形的全纯曲率

钟春平 - 中国科学: A 辑, 2009 - core.ac.uk
摘要设M 为n 维复流形, F 为M 上的强拟凸的复Finsler 度量, M 是M 的m 维复子流形, F 是F 在M
上诱导的复Finsler 度量, D 为(M, F) 上的复Rund 联络. 本文证明了(1)(M, F) …

Holomorphic curvature of complex Finsler submanifolds

CP Zhong - Science China Mathematics, 2010 - Springer
Let M be a complex n-dimensional manifold endowed with a strongly pseudoconvex
complex Finsler metric F. Let M be a complex m-dimensional submanifold of M, which is …