Canoncial Submersions in Nearly K\'ahler Geometry

Autor:	Stecker, Leander
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry 53C25 53B15
Druh dokumentu:	Working Paper
Popis:	We explore submersions introduced by reducible holonomy representations of connections with parallel skew torsion. A submersion theorem extending previous less general results is given. As our main application we show that parallel 3-$(\alpha,\delta)$-Sasaki manifolds admit 1-dimensional submersions onto nearly K\"ahler orbifolds. As a secondary application we reprove that a certain class of nearly K\"ahler manifolds submerges onto quaternionic K\"ahler manifolds. This new proof gives an direct expression for the quaternionic structure on the base. Comment: 14 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.14012 Zobrazit plný text záznamu View this record from Arxiv