Anti-invariant Riemannian Submersions: A Lie-theoretical Approach

作者：Gilkey Peter; Itoh Mitsuhiro; Park JeongHyeong^*

来源：Taiwanese Journal of Mathematics, 2016, 20(4): 787-800.

DOI：10.11650/tjm.20.2016.6898

• Riemannian submersion
• Anti-invariant almost Hermitian
• Anti-invariant quatern ion
• Anti-invariant para-Hermitian
• Anti-invariant para-quaternion
• Anti-invariant octonian

We give a construction which is Lie theoretic of anti-invariant Riemannian submersions from almost Hermitian manifolds, from quaternion manifolds, from para-Hermitian manifolds, from para-quaternion manifolds, and from octonian manifolds. This yields many compact Einstein examples.

• 出版日期2016-8