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RISS 인기검색어
- 검색키워드
- 저자 : Nicoleta Aldea (검색결과 6 건)
- 무료
- 기관 내 무료
- 유료
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ON SOME CLASSES OF R-COMPLEX HERMITIAN FINSLER SPACES
Nicoleta Aldea,Gabriela Cˆampean 대한수학회 2015 대한수학회지 Vol.52 No.3
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 are the Chern-Finsler and Berwald connections. By means of these connections, some classes of the R-complex Hermitian Finsler spaces are defined, (e.g. weakly K¨ahler, K¨ahler, strongly K¨ahler). Here the notions of K¨ahler and strongly K¨ahler do not coincide, unlike the complex Finsler case. Also, some kinds of Berwald notions for such spaces are introduced. A special approach is devoted to obtain the equivalence conditions for an R-complex Hermitian Finsler space to become a weakly Berwald or Berwald. Finally, we obtain the conditions under which an R-complex Hermitian Finsler space with Randers metric is Berwald. We get some clear examples which illustrate the interest for this work.
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ON THE CLASS OF COMPLEX DOUGLAS-KROPINA SPACES
Aldea, Nicoleta,Munteanu, Gheorghe Korean Mathematical Society 2018 대한수학회보 Vol.55 No.1
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, respectively. Special attention is devoted to a class of complex Douglas-Kropina spaces, in complex dimension 2. Also, some examples of complex Douglas-Kropina metrics are pointed out. Finally, the complex Douglas-Kropina metrics are characterized through the theory of projectively related complex Finsler metrics.
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On the class of complex Douglas-Kropina spaces
Nicoleta Aldea,Gheorghe Munteanu 대한수학회 2018 대한수학회보 Vol.55 No.1
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, respectively. Special attention is devoted to a class of complex Douglas-Kropina spaces, in complex dimension $2 $. Also, some examples of complex Douglas-Kropina metrics are pointed out. Finally, the complex Douglas-Kropina metrics are characterized through the theory of projectively related complex Finsler metrics.
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ON SOME CLASSES OF ℝ-COMPLEX HERMITIAN FINSLER SPACES
Aldea, Nicoleta,Campean, Gabriela Korean Mathematical Society 2015 대한수학회지 Vol.52 No.3
In this paper, we investigate the $\mathbb{R}$-complex Hermitian Finsler spaces, emphasizing the differences that separate them from the complex Finsler spaces. The tools used in this study are the Chern-Finsler and Berwald connections. By means of these connections, some classes of the $\mathbb{R}$-complex Hermitian Finsler spaces are defined, (e.g. weakly K$\ddot{a}$hler, K$\ddot{a}$hler, strongly K$\ddot{a}$hler). Here the notions of K$\ddot{a}$hler and strongly K$\ddot{a}$hler do not coincide, unlike the complex Finsler case. Also, some kinds of Berwald notions for such spaces are introduced. A special approach is devoted to obtain the equivalence conditions for an $\mathbb{R}$-complex Hermitian Finsler space to become a weakly Berwald or Berwald. Finally, we obtain the conditions under which an $\mathbb{R}$-complex Hermitian Finsler space with Randers metric is Berwald. We get some clear examples which illustrate the interest for this work.
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On complex Finsler spaces with Randers metric
Nicoleta Aldea,Gheorghe Munteanu 대한수학회 2009 대한수학회지 Vol.46 No.5
In this paper we introduce in study a new class of complex Finsler spaces, namely the complex Randers spaces, for which the fundamental metric tensor and the Chern-Finsler connection are determined. A special approach is devoted to Kähler-Randers metrics. Using the length arc parametrization for the extremal curves of the Euler-Lagrange equations we obtain a complex nonlinear connections of Lorentz type in a complex Randers space. In this paper we introduce in study a new class of complex Finsler spaces, namely the complex Randers spaces, for which the fundamental metric tensor and the Chern-Finsler connection are determined. A special approach is devoted to Kähler-Randers metrics. Using the length arc parametrization for the extremal curves of the Euler-Lagrange equations we obtain a complex nonlinear connections of Lorentz type in a complex Randers space.
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ON COMPLEX FINSLER SPACES WITH RANDERS METRIC
Aldea, Nicoleta,Munteanu, Gheorghe Korean Mathematical Society 2009 대한수학회지 Vol.46 No.5
In this paper we introduce in study a new class of complex Finsler spaces, namely the complex Randers spaces, for which the fundamental metric tensor and the Chern-Finsler connection are determined. A special approach is devoted to $K{\ddot{a}}ahler$-Randers metrics. Using the length arc parametrization for the extremal curves of the Euler-Lagrange equations we obtain a complex nonlinear connections of Lorentz type in a complex Randers space.
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