Morse Theory Of Gradient Flows, Concavity And Complexity On Manifolds With Boundary

This monograph is an account of the author''s investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps.The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary ...