Dually charged mesoatom on the space of constant negative curvature

Dually-charged mesoatom on the space of constant negative curvature

The discrete spectrum solutions corresponding to dually-charged mesoatom on the space of constant negative curvature are obtained. The discrete spectrum of energies is finite and vanishes, when the magnetic charge of the nucleus exceeds the critical value.

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

A Note on the Positive Constant Curvature Space

We construct a positive constant curvature space by identifying some points along a Killing vector in a de Sitter Space. This space is the counterpart of the three-dimensional Schwarzschild-de Sitter solution in higher dimensions. This space has a cosmological event horizon, and is of the topology MD−1 × S , where MD−1 denotes a (D− 1)-dimensional conformal Minkowski spacetime. ∗Email address: ...

Regular minimal nets on surfaces of constant negative curvature

The problem of classification of closed local minimal nets on surfaces of constant negative curvature has been formulated in [3], [4] in the context of the famous Plateau problem in the one-dimensional case. In [6] an asymptotic for log ♯(W (g)) as g → +∞ where g is genus and W (g) is the set of regular single-face closed local minimal nets on surfaces of curvature −1 has been obtained. It has ...

Conformal Curvature Flows on Compact Manifold of Negative Yamabe Constant

Abstract. We study some conformal curvature flows related to prescribed curvature problems on a smooth compact Riemannian manifold (M, g0) with or without boundary, which is of negative (generalized) Yamabe constant, including scalar curvature flow and conformal mean curvature flow. Using such flows, we show that there exists a unique conformal metric of g0 such that its scalar curvature in the...