F-structure on collapsed orbifolds |
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Authors: | Yu Ding |
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Institution: | Department of Mathematics and Statistics, California State University, Long Beach, CA 90840, USA |
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Abstract: | In this paper, we prove the existence of nilpotent Killing structures and F-structures on collapsed Riemannian orbifolds. Therefore a sufficiently collapsed orbifold X is the union of orbits, each orbit is an infranil orbifold of positive dimension; in particular, the F-structure provides a decomposition of X into compact flat orbifolds. |
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Keywords: | 53C23 53C20 |
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