A note on stability of minimal surfaces in -dimensional hyperbolic space .
A Note on Stability of Minimal Surfaces in n-dimensional Hyperbolic Space Hn(c)
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 first Betti number of submanifolds with nonnegative Ricci curvature in codimension two.
A Note on the First Nonzero Eigenvalue of the Laplacian Acting of P-Forms.
A note on the holomorphic invariants of Tian-Zhu.
A Note on the Interpretation of Closed H-Surfaces in Physical Terms.
A note on the isoperimetric constant
A note on the Kazdan-Warner type condition
A note on the nonexistence of spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form
We obtain nonexistence results concerning complete noncompact spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form, under the assumption that the support functions with respect to a fixed nonzero vector are linearly related. Our approach is based on a suitable maximum principle recently established by Alías, Caminha and do Nascimento [3].
A note on the Riemann curvature tensor
A note on the volume of balls on Riemannian manifolds of non-negative curvature
A note on the volume of -Einstein manifolds with skew-torsion
We study the volume of compact Riemannian manifolds which are Einstein with respect to a metric connection with (parallel) skew-torsion. We provide a result for the sign of the first variation of the volume in terms of the corresponding scalar curvature. This generalizes a result of M. Ville [Vil] related with the first variation of the volume on a compact Einstein manifold.
A note on -conformally flat contact manifolds.
A note to a theorem by K. Sekigawa
A parabolic analogue of Finn's maximum principle.
A parametric variational principle for minimal surfaces of varying topological type.
A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in R3 into the hyperbolic 3-space.