Mius minimal surface in sphereS~n(1);

About the general parametric solutions for minimal surface equations;

Fairing Minimal Surface by 4-Point Interpolation Subdivision Scheme;

For the min-imal case,we show that there are numerable indefinitive compact minimal surfaces without bound-ary in this 1-parameter family of surfaces and all the other innumerable indefinitive surfaces in this1-parameter family of surfaces are comp.

The theory of complete minimal surfaces in R~3 was a beautiful topic of differential geometry.

Minimal surfaces is the surface whose average curvature is zero.

We consider a solutionfof a certain Dirichlet Problem on a domain in an elliptic sphereΩ,whose boundary is a minimal hypersurface and we prove a Poincare type inequality forf.

Using moving frames method,the authors classify the semi symmetric hypersurfaces in a space N n +1 ( c )( c ≠0, n ≥3) with constant curvature,and prove the connected and compact semi symmetric minimal hypersurfaces in a unit sphere S n+1 (n ≥3) are either totally geodesic or the clifford minimal hypersurfaces.

In this paper,compact minimal hypersurfaces in the complex and qua-ternionic projective spaces CP￣n and QP￣n are studied.

In this paper, we investigate complete minimal hypersurfaces in the Euclidean space R~4 with vanishing Gauss-Kronecker curvature.

In this thesis, we consider the minimal surfaces on the unit disk D and some characterizations of the Bloch minimal surfaces are given.