Cocalibrated structures on Lie algebras with a codimension one Abelian ideal
Cocalibrated structures on Lie algebras with a codimension one Abelian ideal
复制标题
具有余维一阿贝尔理想的李代数上的共校准结构
DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
Marco Freibert
中科院分区:
文献类型:
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作者:
Marco Freibert
Cocalibrated G2-structures and cocalibrated $${{
m G}_2^*}$$-structures are the natural initial values for Hitchin’s evolution equations whose solutions define (pseudo)-Riemannian manifolds with holonomy group contained in Spin(7) or Spin0(3, 4), respectively. In this article, we classify 7-D real Lie algebras with a codimension one Abelian ideal which admit such structures. Moreover, we classify the 7-D complex Lie algebras with a codimension one Abelian ideal which admit cocalibrated $${({
m G}_2)_{mathbb{C}}}$$-structures.
影响因子:
1.8
作者:
V. Cortés;T. Leistner;L. Schäfer;F. Schulte-Hengesbach
通讯作者:
F. Schulte-Hengesbach