Totally geodesic holomorphic subspaces

G Munteanu - Nonlinear analysis: real world applications, 2007 - Elsevier
In [G. Munteanu, Complex Spaces in Finsler, Lagrange and Hamilton Geometries, vol. 141,
Kluwer Academic Publishers, Dordrecht, FTPH, 2004.] we underlined the motifs of a …

Connections on the Total Space of a Holomorphic Lie Algebroid

A Ionescu, G Munteanu - Mediterranean Journal of Mathematics, 2017 - Springer
The main purpose of the paper is the study of the total space of a holomorphic Lie algebroid
E. The paper is structured in three parts. In the first section, we briefly introduce basic notions …

[PDF][PDF] The CR-geometry of the complex indicatrix

E Popovici - Novi Sad J. Math, 2016 - academia.edu
In this paper we study the differential geometry of the complex indicatrix, which is
approached as an embedded CR hypersurface of the punctual holomorphic tangent bundle …

The equations of the indicatrix of a complex Finsler space

E Popovici - Bulletin of the Transilvania University of Brasov …, 2013 - webbut.unitbv.ro
In this paper, we extend the study of the indicatrix of a complex Finsler space initiated in [10,
11]. The equations that can be introduced on the indicatrix, which is studied as a …

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 …

The geometry of curves of a complex Finsler space

G Munteanu - Bulletin mathématique de la Société des Sciences …, 2006 - JSTOR
In some previous papers ([Mu, Mu1, Mu2]), our attention focused on the general theory of
holomorphic subspaces in a complex Finsler space. In the present paper two approaches in …

The Gauss-Weingarten formulae for the homogeneous lift to the osculator bundle of a Finsler metric

A Oana - Bulletin of the Transilvania University of Brasov. Series …, 2014 - webbut.unitbv.ro
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 …

Bianchi identities in the theory of the homogeneous lift to the 2-osculator bundle of a Finsler metric

A Oana - Bulletin of the Transilvania University of Brasov. Series …, 2017 - webbut.unitbv.ro
In this article, we present a study of the subspaces of the manifold Osc 2 M, the total space of
the 2-osculator bundle of a real manifold M. We obtain the induced connections of the …