2 citations · 2 across the 4 of their papers we have counts for
5 papers
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…