Homeomorphism Classification of positively curved manifolds with almost maximal symmetry rank

Details Homeomorphism Classification of positively curved manifolds with almost maximal symmetry rank Homeomorphism Classification of positively curved manifolds with almost maximal symmetry rank

2003-11-12

arxiv.org/abs/math/0311183v1

Mathematics

Differential Geometry

20 pages

Scientific paper

We show that a closed simply connected 8-manifold (9-manifold) of positive sectional curvature on which a 3-torus (4-torus) acts isometrically is homeomorphic to a sphere, a complex projective space or a quaternionic projective plane (sphere). We show that a closed simply connected 2m-manifold (m>4) of positive sectional curvature on which a (m-1)-torus acts isometrically is homeomorphic to a complex projective space if and only if its Euler characteristic is not 2. By a result of Wilking, these results imply a homeomorphism classification for positively curved n-manifolds (n>7) of almost maximal symmetry rank [\frac{n-1}2].

Affiliated with

Also associated with

No associations

Rating

Homeomorphism Classification of positively curved manifolds with almost maximal symmetry rank does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homeomorphism Classification of positively curved manifolds with almost maximal symmetry rank, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homeomorphism Classification of positively curved manifolds with almost maximal symmetry rank will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-337456