Surfaces of Revolution in the 3-Dimensional Lorentz-Minkowski space E(^3_1) satisfying Δ^111_r=A_r
Surfaces of revolution in the Heisenberg group and the spectral generalization of the Willmore functional.
Surfaces with non-zero normal curvature tensor
Studiamo la topologia differenziale e la geometria delle superfici compatte con curvatura normale non-nulla in spazio della curvatura costante.
Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces
We give a complete classification of surfaces with parallel second fundamental form in 3-dimensional Bianchi-Cartan-Vranceanu spaces.
Surfaces with prescribed Weingarten operator
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.
Symmetrie Submanifolds of Euclidean Space.
Symplectic critical surfaces in Kähler surfaces
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...
Tautness and Lie Sphere Geometry.
The Area of the Generalized Gaussian Image and the Stability of Minimal Surfaces in Sn and IRn.
The area preserving curve shortening flow with Neumann free boundary conditions
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.
The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics
The bounds for the squared norm of the second fundamental form of minimal submanifolds of .
The cone over the Clifford torus in R4 ist ...-minimizing.
The equivariant Dehn's lemma and loop theorem.
The Existence of Embedded Minimal Surfaces and the Problem of Uniqueness.
The explicit construction of all harmonic two-spheres in G2 (Rn).
The faces of the Grassmanian of three-planes in R7 (Calibrated geometries on R7).
The family of isometric superconformal harmonic maps and the affine Toda equations.
The first eigenvalue of spacelike submanifolds in indefinite space form
In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in with the bounded Gauss map must be zero.
The First Eigenvalue of the Laplacian of an Isoparametric Minimal Hypersurface in a Unit Sphere.