6533b85ffe1ef96bd12c2406

RESEARCH PRODUCT

Actions de IR et courbure de ricci du Fibré unitaire tangent des surfaces

Claudio Buzzanca

subject

Pure mathematicsGeneral MathematicsCircle bundleGaussianMathematical analysisTangentsymbols.namesakeUnit tangent bundlesymbolsVector fieldMathematics::Differential GeometryExponential map (Riemannian geometry)Ricci curvatureEigenvalues and eigenvectorsMathematics

description

Characterisation of 2-dimensional Riemannian manifolds (M, g) (in particular, of surfaces with constant gaussian curvatureK=1/c2, o,−1/c2, respectively) whose tangent circle bundle (TcM, gs) (gs=Sasaki metric) admit an «almost-regular» vector field belonging to an eigenspace of the Ricci operator.

https://doi.org/10.1007/bf02844735