六维幂零李群上的左不变准kahler结构

IF 0.3 Q4 MECHANICS

Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics Pub Date : 2022-01-01 DOI:10.17223/19988621/78/3

N. K. Smolentsev

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引用次数: 0

摘要

研究了六维幂零李群上的左不变拟复结构。得到了允许para-Kähler结构的六维幂零李群的完整列表，找到了准复杂结构的显式表达式，并研究了相关para-Kähler度量的曲率性质。证明了副复结构是幂零的，相应的para-Kähler指标是ricci平坦的。

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Left-invariant para-Kahler structures on six-dimensional nilpotent Lie groups

Left-invariant para-complex structures on six-dimensional nilpotent Lie groups are considered. A complete list of six-dimensional nilpotent Lie groups that admit para-Kähler structures is obtained, explicit expressions for para-complex structures are found, and curvature properties of associated para-Kähler metrics are investigated. It is shown that paracomplex structures are nilpotent and the corresponding para-Kähler metrics are Ricci-flat.

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来源期刊

Vestnik Tomskogo Gosudarstvennogo Universiteta-Matematika i Mekhanika-Tomsk State University Journal of Mathematics and Mechanics MECHANICS-

CiteScore

0.90

自引率

66.70%

发文量