We study the geometry of the first two eigenvalues of a magnetic Steklov problem on an
annulus Σ (a compact Riemannian surface with genus zero and two boundary components) …

A well-known property of the catenary curve is that the ratio of the area under the curve to
the arc length of the curve is independent of the interval over which these quantities are …

It is known that on a closed manifold of dimension greater than one, every smooth weak
Riemannian metric on the space of smooth positive densities that is invariant under the …

It is well-known that the catenary is characterized by an extremal centroidal condition: It is
the shape of the curve whose centroid is the lowest among all curves having a prescribed …

We define a family of curves, the n-catenaries, parameterized by the nonzero reals. They
include the classical catenaries (n= 1), parabolas (n= 1/2), cycloids (n=− 1/2), and …

Loxodromes on hypersurfaces of revolution Page 1 a journal of mathematics msp
Loxodromes on hypersurfaces of revolution Jacob Blackwood, Adam Dukehart and …

A natural one codimension isometric embedding of each $(n+ 1) $-dimensional spherical
Robertson-Walker (RW) spacetime $ I\times_f\mathbb {S}^ n $ in $(n+ 2) $-dimensional …

Let H be a hypersurface in ℝ n and let π be an orthogonal projection in ℝ n restricted to H.
We say that H satisfies the Archimedean projection property corresponding to π if there …

A natural one codimension isometric embedding of each (n+ 1)-dimensional spherical
Robertson-Walker (RW) spacetime I× f Sn in (n+ 2)-dimensional Lorentz-Minkowski …

We consider a variation of the classical Grazing Goat Problem and we explore connections
to a number of surprising properties of spheres, including the curious volume-accumulation …