Let N denote either the circle S1 or the closed interval I = [ 0, 1 ] and let f be a C1 endomorphism of N. Let Σ(f) be the complement of the union of the stable manifolds of the sinks of f. In this ...
In this monograph, we develop a comprehensive variational calculus with which we explore the existence and regularity of minimal surfaces on riemannian manifolds. Our principal conclusion is the ...
Cobordism theory, a cornerstone of geometric topology, analyses the equivalence classes of manifolds by utilising the concept of cobordism – whereby two manifolds are considered equivalent if they ...