A remark on positively curved manifolds of dimensions 7 and 13

1995/11/30 by I. A. Taimanov, Taimanov, I. A.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #dg-ga #math.DG

paper · pdf · doi:10.48550/arxiv.dg-ga/9511017

AMSTeX, 10 pages, with additions and corrections

arxiv created 1995/12/12 · arxiv updated 2009/11/30

Abstract

Totally geodesically embeddings of infinitely many closed 7-manifolds into 13-dimensional positively curved closed Riemannian manifolds are constructed. The problems of computing pinching constants and existence of other totally geodesical embeddings are discussed.

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