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This is a monograph that details the use of Siegel’s method and the classical results of homotopy groups of spheres and Lie groups to determine some Gottlieb groups of projective spaces or to give the lower bounds of their orders. Making use of the properties of Whitehead products, the authors also determine some Whitehead center groups of projective spaces that are relevant and new within this monograph.

Projective spaces. --- Homotopy theory. --- Spaces, Projective --- Geometry, Projective --- Deformations, Continuous --- Topology --- Discrete groups. --- Global differential geometry. --- Algebra. --- Convex and Discrete Geometry. --- Differential Geometry. --- Category Theory, Homological Algebra. --- Mathematics --- Mathematical analysis --- Geometry, Differential --- Groups, Discrete --- Infinite groups --- Discrete mathematics --- Convex geometry . --- Discrete geometry. --- Differential geometry. --- Category theory (Mathematics). --- Homological algebra. --- Homological algebra --- Algebra, Abstract --- Homology theory --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Functor theory --- Differential geometry --- Geometry --- Combinatorial geometry