Add to ORKGAffine spheres are discussed in the context of loop groups. We show that every affine sphere can be obtained by solving two ordinary differential equations followed by an application of a generalized Birkhoff Decomposition Theorem (which we proof in the Appendix). A geometric interpretation of the coefficients of the o.d.e is given. Finally the method is applied to construct all ruled surfaces. (orig.)SIGLEAvailable from TIB Hannover: RR 1596(416) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman
We define a notion of isotropic surfaces in $\mathbb{O}$, i.e. on which some canonical symplectic fo...
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In this paper, the Weierstrass technique for harmonic maps S² → CPN−1 is employed in order to obtain...
We present a representation formula for discrete indefinite affine spheres via loop group factorizat...
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Representations of arbitrary real or complex invertible matrices as products of matrices of special ...
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Affine spheres with definite and indefinite Blaschke metric are discretized in a purely geometric ma...
In this paper, we prove a Weierstrass representation formula for simply connected immersed maximal s...
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The subject of this paper is to give a Weierstrass type representation for mean curvature one surfac...
Abstract. The Weierstrass-Enneper Representations are a great link between several branches of mathe...
The Weierstrass representation for spheres in R"3 and, in particular, effective construction of...
We define a notion of isotropic surfaces in $\mathbb{O}$, i.e. on which some canonical symplectic fo...
A generic surface in Euclidean 3-space is determined uniquely by its metric and curvature. Classific...
In this paper, the Weierstrass technique for harmonic maps S² → CPN−1 is employed in order to obtain...
We present a representation formula for discrete indefinite affine spheres via loop group factorizat...
We give a survey on the theory of affine spheres, emphasizing the convex cases and relationships to ...
Representations of arbitrary real or complex invertible matrices as products of matrices of special ...
Abstract. We give an infinite dimensional generalized Weierstrass representation for spacelike con-s...
AbstractWe give an infinite dimensional generalized Weierstrass representation for spacelike constan...
Affine spheres with definite and indefinite Blaschke metric are discretized in a purely geometric ma...
In this paper, we prove a Weierstrass representation formula for simply connected immersed maximal s...
This thesis is concerned with the problem of constructing surfaces of constant mean curvature with i...
Two basic Lie-invariant forms uniquely defining a generic (hyper)surface in Lie sphere geometry are ...
The subject of this paper is to give a Weierstrass type representation for mean curvature one surfac...
Abstract. The Weierstrass-Enneper Representations are a great link between several branches of mathe...
The Weierstrass representation for spheres in R"3 and, in particular, effective construction of...
We define a notion of isotropic surfaces in $\mathbb{O}$, i.e. on which some canonical symplectic fo...
A generic surface in Euclidean 3-space is determined uniquely by its metric and curvature. Classific...
In this paper, the Weierstrass technique for harmonic maps S² → CPN−1 is employed in order to obtain...