Members & Guests

Prof. Dr. Wolfram Bauer

Project leader


Leibniz-Universität Hannover

E-mail: bauer(at)math.uni-hannover.de
Telephone: +49 511 762-2361

Publications within SPP2026

We construct a codimension 3completely non-holonomic subbundle on the Gromoll–Meyer exotic 7-sphere based on its realization as a base space of a Sp(2)-principal bundle with the structure group Sp(1). The same method can be applied to construct a codimension 3 completely non-holonomic subbundle on the standard 7-sphere (or more general on a (4n +3)-dimensional standard sphere). In the latter case such a construction based on the Hopf bundle is well-known. Our method provides a new and simple proof for the standard sphere S7.

 

Journal Appl. Anal. 96 (2017), 2390–2407.
Link to preprint version

Related project(s):
6Spectral Analysis of Sub-Riemannian Structures

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