Abstract
We give a complete classification of the structure group of a direct sum of canonical algebraic curvature tensors. We use this classification to construct new invariants of the corresponding model spaces, and give two geometric examples where a knowledge of this classification is useful.
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Acknowledgments
The authors would like to thank S. Dunn, Z. Hasan, B. Lim, S. Mellor, J. Sutliff-Sanders, R. Trapp and S. Zwicknagl for helpful conversations while this research was conducted. The authors are also grateful to the referee for offering excellent suggestions on how to improve this work.
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The authors graciously acknowledge the support of National Science Foundation grants DMS-0850959 and DMS-1156608, and California State University, San Bernardino.
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Dunn, C., Franks, C. & Palmer, J. On the structure group of a decomposable model space. Beitr Algebra Geom 56, 199–216 (2015). https://doi.org/10.1007/s13366-013-0185-z
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DOI: https://doi.org/10.1007/s13366-013-0185-z