Odd-dimensional orbifolds with all geodesics closed are covered by manifolds
AbstractManifolds all of whose geodesics are closed have been studied a lot, but there are only few examples known. The situation is different if one allows in addition for orbifold singularities. We show, nevertheless, that the abundance of new examples is restricted to even dimensions. As one key ingredient we provide a characterization of orientable manifolds among orientable orbifolds in terms of characteristic classes.
1974 ◽
Vol 32
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pp. 254-255
1983 ◽
Vol 41
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pp. 270-271
1973 ◽
Vol 31
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pp. 144-145
1973 ◽
Vol 31
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pp. 132-133
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1983 ◽
Vol 41
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pp. 194-195
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1983 ◽
Vol 41
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pp. 160-161
1983 ◽
Vol 41
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pp. 72-73
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1973 ◽
Vol 31
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pp. 420-421
1982 ◽
Vol 40
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pp. 306-307