A remark on positively curved manifolds of dimensions 7 and 13
classification
dg-ga
math.DG
keywords
manifoldsclosedcurvedembeddingspositivelytotallycomputingconstants
read the original 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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