A normal form for curves in Grassmannians.
A Note Concerning a Statement of Hollcroft.
A note on conformal vector fields on a Riemannian manifold
We consider an n-dimensional compact Riemannian manifold (M,g) and show that the presence of a non-Killing conformal vector field ξ on M that is also an eigenvector of the Laplacian operator acting on smooth vector fields with eigenvalue λ > 0, together with an upper bound on the energy of the vector field ξ, implies that M is isometric to the n-sphere Sⁿ(λ). We also introduce the notion of φ-analytic conformal vector fields, study their properties, and obtain a characterization of n-spheres...
A Note on Curvature-like Invariants of Some Connections on Locally Decomposable Spaces
A note on equichordal graphs
A note on Euclidean spheres.
A note on -curvature planes.
A note on ovals and their evolutoides.
A note on secantoptics.
A note on surfaces with prescribed oriented Euclidean Gauss map.
A note on surfaces with radially symmetric nonpositive Gaussian curvature
It is easily seen that the graphs of harmonic conjugate functions (the real and imaginary parts of a holomorphic function) have the same nonpositive Gaussian curvature. The converse to this statement is not as simple. Given two graphs with the same nonpositive Gaussian curvature, when can we conclude that the functions generating their graphs are harmonic? In this paper, we show that given a graph with radially symmetric nonpositive Gaussian curvature in a certain form, there are (up to) four families...
A note on the existence of H-bubbles via perturbation methods.
We study the problem of existence of surfaces in R3 parametrized on the sphere S2 with prescribed mean curvature H in the perturbative case, i.e. for H = Ho + EH1, where Ho is a nonzero constant, H1 is a C2 function and E is a small perturbation parameter.
A Note on the Interpretation of Closed H-Surfaces in Physical Terms.
A parabolic analogue of Finn's maximum principle.
A parametric variational principle for minimal surfaces of varying topological type.
A Pertubation Theorem for Surfaces of Constant Mean Curvature.
A priori Bounds and necessary conditions for solvability of prescribed curvature equations.
A Priori estimates for minimal surfaces with free boundary, which are not minima of the area.
A projective characterization of the Veronese surface
A projective Gauss map associated with a hypersurface and a hyperplane.