C.P. Wang [21] studied the Euler-Lagrange equations for the centroaffine area functional of hypersurfaces. We consider classes of examples satisfying these equations together with completeness conditions. We formulate appropriate centroaffine Bernstein problems and give partial solutions
International audienceWe consider entire solutions u to the minimal surface equation in R-N, with N ...
We develop a surface theory in pseudohermitian geometry. We define a notion of (p-)mean curvature an...
AbstractSolving certain partial differential equations we obtain some classification results for lin...
AbstractC.P. Wang [Geom. Dedicata 51 (1994) 63–74] studied the Euler–Lagrange equation for the centr...
Abstract. Let Σ be a complete minimal Lagrangian submanifold of C n . We identify several regions in...
We classify the entire minimal vertical graphs in the Heisenberg group Nil3 endowed with a Riemannia...
We relate centroaffine immersions $f:M^n\to R^{n+1}$ to horizontal immersions $g$ of $M^n$ into $S^{...
In these notes, we collect the main and, to the best of our knowledge, most up-to-date achievements ...
The subject of this thesis is in the domain of differential geometry. In this field one studies hype...
Let $x:M^n\to A^{n+1}$ be the graph of some strictly convex function $x_{n+1} = f(x_1,\cdots,x_n)$ d...
In this paper, we prove the validity of the Chern conjecture in affine geometry [18], namely that an...
We investigate the centroaffine space curves with constant centroaffine curvatures in R3. We classif...
We construct nonlinear entire anisotropic minimal graphs over $\mathbb{R}^4$, completing the solutio...
The notion of an ideal submanifold was introduced by Chen at the end of the last century. A survey o...
We examine the centroaffine geometry of Tchebychev surfaces. By choosing local parameters adapted to...
International audienceWe consider entire solutions u to the minimal surface equation in R-N, with N ...
We develop a surface theory in pseudohermitian geometry. We define a notion of (p-)mean curvature an...
AbstractSolving certain partial differential equations we obtain some classification results for lin...
AbstractC.P. Wang [Geom. Dedicata 51 (1994) 63–74] studied the Euler–Lagrange equation for the centr...
Abstract. Let Σ be a complete minimal Lagrangian submanifold of C n . We identify several regions in...
We classify the entire minimal vertical graphs in the Heisenberg group Nil3 endowed with a Riemannia...
We relate centroaffine immersions $f:M^n\to R^{n+1}$ to horizontal immersions $g$ of $M^n$ into $S^{...
In these notes, we collect the main and, to the best of our knowledge, most up-to-date achievements ...
The subject of this thesis is in the domain of differential geometry. In this field one studies hype...
Let $x:M^n\to A^{n+1}$ be the graph of some strictly convex function $x_{n+1} = f(x_1,\cdots,x_n)$ d...
In this paper, we prove the validity of the Chern conjecture in affine geometry [18], namely that an...
We investigate the centroaffine space curves with constant centroaffine curvatures in R3. We classif...
We construct nonlinear entire anisotropic minimal graphs over $\mathbb{R}^4$, completing the solutio...
The notion of an ideal submanifold was introduced by Chen at the end of the last century. A survey o...
We examine the centroaffine geometry of Tchebychev surfaces. By choosing local parameters adapted to...
International audienceWe consider entire solutions u to the minimal surface equation in R-N, with N ...
We develop a surface theory in pseudohermitian geometry. We define a notion of (p-)mean curvature an...
AbstractSolving certain partial differential equations we obtain some classification results for lin...
DOI
Add to ORKG