Surfaces of Revolution in the 3-Dimensional Lorentz-Minkowski space E(^3_1) satisfying Δ^111_r=A_r
Studiamo la topologia differenziale e la geometria delle superfici compatte con curvatura normale non-nulla in spazio della curvatura costante.
We give a complete classification of surfaces with parallel second fundamental form in 3-dimensional Bianchi-Cartan-Vranceanu spaces.
We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.
Let be a Kähler surface and be a closed symplectic surface which is smoothly immersed in . Let be the Kähler angle of in . We first deduce the Euler-Lagrange equation of the functional in the class of symplectic surfaces. It is , where is the mean curvature vector of in , is the complex structure compatible with the Kähler form in , which is an elliptic equation. We call such a surface a symplectic critical surface. We show that, if is a Kähler-Einstein surface with nonnegative...
We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.
In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in with the bounded Gauss map must be zero.