A remark on positively curved manifolds of dimensions 7 and 13

Details A remark on positively curved manifolds of dimensions 7 and 13 A remark on positively curved manifolds of dimensions 7 and 13

1995-11-30

arxiv.org/abs/dg-ga/9511017v2

Mathematics

Differential Geometry

AMSTeX, 10 pages, with additions and corrections

Scientific paper

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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