A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces (Q1941074)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces |
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A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces (English)
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11 March 2013
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The main result of the paper is the following theorem: For any given Eschenburg space \(E^7_{a,b}\) there exist infinitely many mutually nonhomotopy equivalent Bazaikin spaces into which the space \(E^7_{a,b}\) can be embedded as a totally geodesic submanifold. The ability to embed a positively curved Eschenburg space as a totally geodesic submanifold of a Bazaikin space of positive curvature is discussed in detail.
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Eschenburg space
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Bazaikin space
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totally geodesic embeddings
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Bazaikin biquotient
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