A non-Vaisman LCK solvmanifold associated to a one-dimensional extension of a 2-step nilmanifold

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-08-12 DOI:10.1016/j.difgeo.2024.102174

Hiroshi Sawai

引用次数: 0

Abstract

The purpose of this paper is to determine a locally conformal Kähler solvmanifold such that its associated solvable Lie group is a one-dimensional extension of a 2-step nilpotent Lie group.

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与二阶零芒形的一维扩展相关的非瓦伊斯曼LCK求解芒形

本文的目的是确定一个局部共形的 Kähler solvmanifold，使其相关的可解李群是二阶零势李群的一维扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.