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11 papers · 1 filter
Shape maps for second order partial differential equations
O. Rossi, D. J. Saunders, G. E. Prince
We analyse the singularity formation of congruences of solutions of systems of second order PDEs via the construction of \emph{shape maps}. The trace of such maps represents a cong…
A short proof of the Dimension Conjecture for real hypersurfaces in
Alexander Isaev, Boris Kruglikov
Recently, I. Kossovskiy and R. Shafikov have settled the so-called Dimension Conjecture, which characterizes spherical hypersurfaces in via the dimension of the alg…
Torsion and the second fundamental form for distributions
G. E. Prince
The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally…
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction
G. Austin Ford, Andrew Hassell, Luc Hillairet
We investigate the singularities of the trace of the half-wave group, , on Euclidean surfaces with conical singularities . We compute the leadi…
Magnetic Field Generation in Stars
Lilia Ferrario, Andrew Melatos, Jonathan Zrake
Enormous progress has been made on observing stellar magnetism in stars from the main sequence through to compact objects. Recent data have thrown into sharper relief the vexed que…
Magnetic White Dwarfs
Lilia Ferrario, Domitilla de Martino, Boris Gaensicke
In this paper we review the current status of research on the observational and theoretical characteristics of isolated and binary magnetic white dwarfs (MWDs). Magnetic fields of…