On two questions of James
Chao Qian, Zizhou Tang, Wenjiao Yan
TL;DR
This paper explores two fundamental questions about octonionic Stiefel spaces, providing partial answers to advance understanding of their structure and properties.
Contribution
It offers the first partial answers to longstanding questions about octonionic Stiefel spaces, a topic with limited prior exploration.
Findings
Partial characterization of octonionic Stiefel spaces
New insights into their topological structure
Progress towards answering I. M. James's questions
Abstract
64 years ago, I. M. James raised two fundamental questions about octonionic Stiefel spaces. The prime objective of this paper is to figure out partial answers to both of them.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Differential Geometry Research · Geometric Analysis and Curvature Flows