6 citations · 15 across the 10 of their papers we have counts for
10 papers
Self coincidence numbers and the fundamental group
Daniel Henry Gottlieb
For M and N closed oriented connected smooth manifolds of the same dimension, we consider the mapping space Map(M,N;f) of continuous maps homotopic to f:M--> N.We show that the eva…
Fixed Point Indices and Manifolds with Collars
Chen-Farng Benjamin, Daniel Henry Gottlieb
This paper concerns a formula which relates the Lefschetz number L(f) for a map f:M --> M' to the fixed point index I(f) summed with the fixed point index of a derived map on part…
Maxwell's Equations
Daniel Henry Gottlieb
We express Maxwell's equations as a single equation, first using the divergence of a special type of matrix field to obtain the four current, and then the divergence of a special m…
Transfers and Periodic Orbits
Daniel Henry Gottlieb
Bo Ju Jiang applied Neilsen theory to the study of periodic orbits of a homeomorphism. His method employs a certain loop in the mapping torus of the homeomorphism. Our interest con…
Eigenbundles, Quaternions, and Berry's Phase
Daniel Henry Gottlieb
Given a parameterized space of square matrices, the associated set of eigenvectors forms some kind of a structure over the parameter space. When is that structure a vector bundle?…
Fields of Lorentz transformations on space-time
Daniel Henry Gottlieb
Fields of Lorentz transformations on a space--time are related to tangent bundle self isometries. In other words, a gauge transformation with respect to the Minkowski metric on eac…