Transactions of the American Mathematical Society · 1948 · 248 citations · 0 references
Natural SciencesMathematicsAlgebraGeometryTopologyCohomology TheoryDifferential GeometryGroup TheoryHomological AlgebraLie AlgebrasLie GroupsLie Algebra CohomologyLie Group CohomologyTangent Vectors
Russian with German summary.)() In LG, only analytic manifolds were considered.The definitions can be slightly modified in order to allow us to treat the case of manifolds of class Ck(k 1).These modifications are trivial except as regards the definition of tangent vectors.This definition should be formulated as follows in the case of manifolds M of class C*.Let m be any point of M and let A be the class