Lie-Algebraic Approaches to Highly Symmetric Geometries

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https://hdl.handle.net/10037/10922
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Paper 1: Alekseevsky, D. V., Kruglikov, B. S., Winther, H.: “Homogeneous almost complex structures in dimension 6 with semi-simple isotropy”. Also available in Ann. Glob. Anal. Geom. 2014, 46:361–387.  (PDF)
Paper 2: Kruglikov, B., Winther, H.: “Almost complex structures in 6D with nondegenerate Nijenhuis tensors and large symmetry groups”. Also available in Ann. Glob. Anal. Geom. 2016, 50: 297. (PDF)
Date
2017-02-24
Type
Doctoral thesis
Doktorgradsavhandling

Author
Winther, Henrik
Abstract
We facilitate the exploration and development of geometry by symmetry-based methods. To this end, we answer several natural questions that appear when considering symmetries, for particular examples of geometries
Description
The papers 3, 4, 5, and 6 are not available in Munin.
Paper 3: Kruglikov, B., Winther, H., Zalabová, L.: “Submaximally Symmetric Almost Quaternionic Structures”. (Manuscript).
Paper 4: Chrysikos, I., Gustad, C. O. C., Winther, H.: “Invariant connections and r-Einstein structures on isotropy irreducible spaces”. (Manuscript).
Paper 5: Kruglikov, B., Winther, H.: “Reconstruction from Representations: Jacobi via Cohomology”. (Manuscript).
Paper 6: Kruglikov, B., Winther, H.: “Nondegenerate para-complex structures in 6D with large symmetry”. (Manuscript).
Publisher
UiT Norges arktiske universitet
UiT The Arctic University of Norway
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