We study minimal graphs in M ×R. First, we establish some relations between the geometry of the domain and the existence of certain minimal graphs. We then discuss the problem of finding the maximal number of disjoint domains Ω ⊂M that admit a minimal graph that vanishes on ∂Ω. When M is two dimensional and has non-negative sectional curvature, we prove that this number is 3. This was proved by Tkachev in R3
Menezes We prove a half-space theorem for an ideal Scherk graph Σ ⊂ M ×R over a polygonal domain D ⊂...
In this dissertation, minimal and constant mean curvature surface theory in 3-dimensional Riemannian...
AbstractFor graphs G,F and H we write G→(F,H) to mean that if the edges of G are coloured with two c...
Abstract. We construct harmonic diffeomorphisms from the complex plane C onto any Hadamard surface M...
This book contains recent results from a group focusing on minimal surfaces in the Moscow State Univ...
Consider graphs embedded in a Riemannian manifold, attached at n fixed points. Say such a graph is m...
We construct geometric barriers for minimal graphs in Hn ×R. We prove the existence and uniqueness o...
Abstract. In this paper, we investigate the problem of finding minimal graphs in Mn × R with general...
[[sponsorship]]數學研究所[[note]]已出版;具代表性[[note]]http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVe...
We say that a graph is non-apex if the removal of any vertex results in a non-planar graph. We say t...
Abstract. We show that minimal graphs over nitely connected domains are parabolic. 1
In this paper we will discuss minimal surfaces Σ in M × R, where M will be the 2-sphere (with the co...
We study the asymptotic Dirichlet problem for f-minimal graphs in Cartan-Hadamard manifolds M.f-mini...
Texto completo: acesso restrito. p. 117-148In this paper we study minimal surfaces in M × ℝ, where M...
AbstractFor any graph G embedded on the torus, the face-widthr(G) of G is the minimum number of inte...
Menezes We prove a half-space theorem for an ideal Scherk graph Σ ⊂ M ×R over a polygonal domain D ⊂...
In this dissertation, minimal and constant mean curvature surface theory in 3-dimensional Riemannian...
AbstractFor graphs G,F and H we write G→(F,H) to mean that if the edges of G are coloured with two c...
Abstract. We construct harmonic diffeomorphisms from the complex plane C onto any Hadamard surface M...
This book contains recent results from a group focusing on minimal surfaces in the Moscow State Univ...
Consider graphs embedded in a Riemannian manifold, attached at n fixed points. Say such a graph is m...
We construct geometric barriers for minimal graphs in Hn ×R. We prove the existence and uniqueness o...
Abstract. In this paper, we investigate the problem of finding minimal graphs in Mn × R with general...
[[sponsorship]]數學研究所[[note]]已出版;具代表性[[note]]http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVe...
We say that a graph is non-apex if the removal of any vertex results in a non-planar graph. We say t...
Abstract. We show that minimal graphs over nitely connected domains are parabolic. 1
In this paper we will discuss minimal surfaces Σ in M × R, where M will be the 2-sphere (with the co...
We study the asymptotic Dirichlet problem for f-minimal graphs in Cartan-Hadamard manifolds M.f-mini...
Texto completo: acesso restrito. p. 117-148In this paper we study minimal surfaces in M × ℝ, where M...
AbstractFor any graph G embedded on the torus, the face-widthr(G) of G is the minimum number of inte...
Menezes We prove a half-space theorem for an ideal Scherk graph Σ ⊂ M ×R over a polygonal domain D ⊂...
In this dissertation, minimal and constant mean curvature surface theory in 3-dimensional Riemannian...
AbstractFor graphs G,F and H we write G→(F,H) to mean that if the edges of G are coloured with two c...