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pro vyhledávání: '"McMillan, Benjamin"'
Autor:
McMillan, Benjamin
Given two smooth manifolds with tangent subbundle distributions, an embedding is Pfaffian if its differential sends the distribution on the source into the distribution on the target. In this paper, we consider the question of existence of Pfaffian e
Externí odkaz:
http://arxiv.org/abs/2404.14988
Autor:
McMillan, Benjamin Eugene
The Asian tiger mosquito, Aedes albopictus (Skuse), is a worldwide nuisance pest that is capable of vectoring several viruses of public health concern. This invasive mosquito has recently expanded its habitable range through its utilization of artifi
Externí odkaz:
http://hdl.handle.net/10919/106635
For semi-Riemannian manifolds of constant sectional curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for the range of the Killing operator. In this article, extending earlier r
Externí odkaz:
http://arxiv.org/abs/2302.04480
On a Riemannian manifold of constant curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for the range of the Killing operator. We generalise this operator to provide linear secon
Externí odkaz:
http://arxiv.org/abs/2112.00841
We give a Chern-Weil map for the Gel'fand-Fuks characteristic classes of Haefliger-singular foliations, those foliations defined by smooth Haefliger structures with dense regular set. Our characteristic map constructs, out of singular geometric struc
Externí odkaz:
http://arxiv.org/abs/2106.10078
Akademický článek
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Geometry and Conservation Laws for a Class of Second-Order Parabolic Equations II: Conservation Laws
Autor:
McMillan, Benjamin B.
Publikováno v:
SIGMA 17 (2021), 047, 24 pages
I consider the existence and structure of conservation laws for the general class of evolutionary scalar second-order differential equations with parabolic symbol. First I calculate the linearized characteristic cohomology for such equations. This pr
Externí odkaz:
http://arxiv.org/abs/1810.02346
Autor:
McMillan, Benjamin B.
Publikováno v:
J. Geom. Phys. 157 (2020) 103824
I consider the geometry of the general class of scalar 2nd-order differential equations with parabolic symbol, including non-linear and non-evolutionary parabolic equations. After defining the appropriate $G$-structure to model parabolic equations, I
Externí odkaz:
http://arxiv.org/abs/1810.00458
Autor:
McMillan, Benjamin E., Britch, Seth C., Golden, Frances V., Aldridge, Robert L., Moreno, Bianca J., Bayer, Barbara E., Linthicum, Kenneth J.
Publikováno v:
In Current Research in Parasitology & Vector-Borne Diseases 2022 2
Autor:
McMillan, Benjamin B.
Publikováno v:
In Journal of Geometry and Physics November 2020 157