关于六维幂零非辛李群上的左不变半凯勒结构
On left-invariant semi-Kähler structures on six-dimensional nilpotent nonsymplectic Lie groups
AI总结：
本文针对三类六维幂零非辛李群，定义并研究了其上的左不变半凯勒结构与近仿半凯勒结构及其几何性质。
摘要：
已知六维幂零李群共有34类，其中许多类容许左不变辛结构和复结构。在这些类中，有三类群上没有左不变辛结构，但存在复结构。本文在这类李群上定义了半凯勒结构和近仿半凯勒结构，并研究了它们的几何性质。
英文摘要：
It is known that there are 34 classes of six-dimensional nilpotent Lie groups, many of which admit left-invariant symplectic and complex structures. Among them there are three classes of groups on which there are no left-invariant symplectic structures, but there are complex structures. In this work, semi-Kähler and almost para-semi-Kähler structures are defined on such Lie groups and their geometric properties are studied.
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