Do manifolds have little symmetry? Export

@misc{citeulike:715657, abstract = {This note is surveying certain aspects (including recent results) of the following problem stated by F.Raymond and R.Schultz: ''It is generally felt that a manifold 'chosen at random' will have little symmetry. Can this intuitive notion be made more precise? Does there exist a closed simply connected manifold, on which no finite group acts effectively? (A weaker question, no involution?)''}, archivePrefix = {arXiv}, author = {Puppe, Volker}, citeulike-article-id = {715657}, citeulike-linkout-0 = {http://arxiv.org/abs/math.AT/0606714}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.AT/0606714}, day = {28}, eprint = {math.AT/0606714}, keywords = {3d, 4d, cohomology, differential-geometry, group, manifold, symmetry}, month = {Jun}, posted-at = {2006-06-29 13:41:22}, priority = {2}, title = {Do manifolds have little symmetry?}, url = {http://arxiv.org/abs/math.AT/0606714}, year = {2006} }

TY - ELEC ID - citeulike:715657 L3 - citeulike-article-id:715657 N2 - This note is surveying certain aspects (including recent results) of the following problem stated by F.Raymond and R.Schultz: ''It is generally felt that a manifold 'chosen at random' will have little symmetry. Can this intuitive notion be made more precise? Does there exist a closed simply connected manifold, on which no finite group acts effectively? (A weaker question, no involution?)'' TI - Do manifolds have little symmetry? KW - 3d KW - 4d KW - cohomology KW - differential-geometry KW - group KW - manifold KW - symmetry AU - Puppe, Volker PY - 2006/Jun/28/ UR - http://arxiv.org/abs/math.AT/0606714 ER -