A remark on positively curved manifolds of dimensions 7 and 13
Abstract
Description
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.
AMSTeX, 10 pages, with additions and corrections
AMSTeX, 10 pages, with additions and corrections