Harmonic morphisms of Allof-Wallach spaces of positive curvature
Hajime Urakawa
TL;DR
This paper constructs an infinite family of harmonic morphisms with minimal circle fibers from 7D Allof-Wallach spaces of positive curvature to 6D flag manifolds, expanding understanding of geometric mappings in curved spaces.
Contribution
It introduces a new class of harmonic morphisms from Allof-Wallach spaces, highlighting their structure and properties in positive curvature settings.
Findings
Infinite family of harmonic morphisms constructed
Minimal circle fibers identified in the morphisms
Mappings from 7D spaces to 6D flag manifolds
Abstract
An infinite family of distinct harmonic morphisms with minimal circle fibers from the 7-dimensional homogeneous Allof-Wallach spaces of positive curvature onto the 6-dimensional flag manifolds is given.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds