Kerin, Martin (2013) 'A note on totally geodesic embeddings of Eschenburg spaces into Bazaikin spaces.', Annals of Global Analysis and Geometry, 43 (1). pp. 63-73.
In this note it is shown that every 7-dimensional Eschenburg space can be totally geodesically embedded into infinitely many topologically distinct 13-dimensional Bazaikin spaces. Furthermore, examples are given which show that, under the known construction, it is not always possible to totally geodesically embed a positively curved Eschenburg space into a Bazaikin space with positive curvature.
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||https://doi.org/10.1007/s10455-012-9333-1|
|Date accepted:||14 May 2012|
|Date deposited:||15 November 2022|
|Date of first online publication:||06 June 2012|
|Date first made open access:||15 November 2022|
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