On Lie groups as quasi-Kahler manifolds with Killing Norden metric

Mancho Manev; Dimitar Mekerov

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On Lie groups as quasi-Kahler manifolds with Killing Norden metric

机译：关于用Killing Norden度量作为拟Kahler流形的Lie群

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摘要

A 6-parametric family of 6-dimensional quasi-Kahler manifolds with Norden metric is constructed on a Lie group. This family is characterized geometrically.

机译：在Lie组上构造了具有Norden度量的6维准Kahler流形的6参数族。该家族具有几何特征。

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来源
《Advances in geometry》 |2008年第3期|共10页
作者
Mancho Manev; Dimitar Mekerov;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Almost complex manifold; Norden metric; quasi-Kahler manifold; indefinite metric; non-integrable almost complex structure; Lie group;

机译：概复流形;诺登度量;拟Kahler流形;不定度量;不可积几乎复结构;李群;

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专利

1. On Lie groups as quasi-Kahler manifolds with Killing Norden metric [J] . Mancho Manev, Dimitar Mekerov Advances in geometry . 2008,第3期

机译：关于用Killing Norden度量作为拟Kahler流形的Lie群
2. Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden Metrics [J] . Manev Hristo Journal of Lie theory . 2020,第3期

机译：矩阵李群组作为赫米特尼斯 - 诺登度量的四维超复杂歧管
3. Lie Groups as Four-dimensional Complex Manifolds with Norden Metric [J] . Kostadin Gribachev, Marta Teofilova Journal of Geometry . 2008,第1a2期

机译：谎言组作为带有Norden公制的四维复杂流形
4. FIVE-DIMENSIONAL LIE GROUPS WHICH ARE ALMOST CONTACT B-METRIC MANIFOLDS WITH THREE NATURAL CONNECTIONS [C] . Miroslava IVANOVA, Hristo MANEV International Colloquium on Differential Geometry and its Related Fields . 2016

机译：几乎与具有三个自然连接的B-Metric歧管的五维谎言组
5. A Skew-product decomposition of diffusions on a manifold equipped with a group action, A Lorentz model with variable density in a conservative force field, and Reconstruction of a manifold from the intrinsic metric of an associated Markov chain. [D] . Wayman, Eric Stephen. 2014

机译：配备群作用的流形上扩散的偏积分解，保守力场中密度可变的Lorentz模型以及从相关马尔可夫链的内在度量重构流形。
6. HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS [O] . Wilfried Schmid 1968

机译：半简单李群的齐次复杂流形和表示
7. On Lie groups as quasi-Ka”hler manifolds with Killing Norden metric [O] . Dimitar Mekerov, Mancho Manev 2014

机译：在具有Killing Norden度量的拟Ka'hler流形上的Lie群

On Lie groups as quasi-Kahler manifolds with Killing Norden metric

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