Cocalibrated structures on Lie algebras with a codimension one Abelian ideal

Cocalibrated structures on Lie algebras with a codimension one Abelian ideal
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具有余维一阿贝尔理想的李代数上的共校准结构

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发表时间:
2011
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影响因子:
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通讯作者:
Marco Freibert
Marco Freibert
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作者:
Marco Freibert

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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.
半扁平结构和特殊的完整性
DOI: 10.1112/plms/pdq012
发表时间: 2011
影响因子: 1.8
作者:
V. Cortés;T. Leistner;L. Schäfer;F. Schulte-Hengesbach
通讯作者: F. Schulte-Hengesbach