. . . "RIV/00216208:11320/01:00105344" . . . "110;118" . . "Global Differential Geometry: The Mathematical Legacy of Alfred Gray" . "Kowalski, Old\u0159ich" . . . . . . . "AMS" . "RIV/00216208:11320/01:00105344!RIV/2002/GA0/113202/N" . "[E4E1C85B5260]" . . . "674875" . "Can Tangent Sphere Bundles over Riemannian Manifolds have Strictly Positive Curvature?" . . "2"^^ . "3"^^ . . "0"^^ . . "0"^^ . . "Can Tangent Sphere Bundles over Riemannian Manifolds have Strictly Positive Curvature?" . "Can Tangent Sphere Bundles over Riemannian Manifolds have Strictly Positive Curvature?"@en . . . "Can Tangent Sphere Bundles over Riemannian Manifolds have Strictly Positive Curvature?"@en . "2001-01-01+01:00"^^ . "P(GA201/99/0265), Z(MSM 113200007)" . "We prove, except some particular cases, that for every point x of a Riemannian manifold (M,g), dim M > 2, there is a curvature operator R(X,Y)(X,Y linearly independent) with nontrivial kernel. Then we apply our results to the problem in title." . . "9"^^ . "We prove, except some particular cases, that for every point x of a Riemannian manifold (M,g), dim M > 2, there is a curvature operator R(X,Y)(X,Y linearly independent) with nontrivial kernel. Then we apply our results to the problem in title."@en . . "Boston, USA" . "Boston, USA" . "Vl\u00E1\u0161ek, Zden\u011Bk" . . "Tangent;Sphere;Bundles;Riemannian;Manifolds;Strictly;Positive;Curvature;"@en . . "11320" .