Sätze vom Holditch-Typ für ebene Kurven.
Scalar and density concomitants of tensor with the valence (1, 2) in a 2-dimensional space
Schallfronten an ebenen Kurven. I.
Schallfronten an ebenen Kurven. III. (Sonic wave fronts at plane curves. III).
Scheitelsätze für Regelflächen.
Schiffer problem and isoparametric hypersurfaces.
The Schiffer Problem as originally stated for Euclidean spaces (and later for some symmetric spaces) is the following: Given a bounded connected open set Ω with a regular boundary and such that the complement of its closure is connected, does the existence of a solution to the Overdetermined Neumann Problem (N) imply that Ω is a ball? The same question for the Overdetermined Dirichlet Problem (D). We consider the generalization of the Schiffer problem to an arbitrary Riemannian manifold and also...
Schouten tensor equations in conformal geometry with prescribed boundary metric.
Sechseckgewebe auf Flachen Positiver oder Negativer Krummung
Second order differential invariants of linear frames.
Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics
We study the Jones and Tod correspondence between selfdual conformal -manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl -manifolds, and prove that invariant complex structures correspond to shear-free geodesic congruences. Such congruences exist in abundance and so provide a tool for constructing interesting selfdual geometries with symmetry, unifying the theories of scalar-flat Kähler metrics and hypercomplex structures with symmetry. We also show that in the presence...
Self-intersection Points in classical area-minimizing surfaces.
Self-parallel curves.
Semicanonical moving frame of the hypersurface in a unimodular 4-dimensional affine space
Semi-riemannian Manifolds Whose Weyl Tensor is a Kulkarni--nomizu Square
Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square.
Several new characterizations of the 2-dimensional sphere in
Sharp eigenvalue estimates of closed -hypersurfaces in locally symmetric spaces
The purpose of this article is to obtain sharp estimates for the first eigenvalue of the stability operator of constant mean curvature closed hypersurfaces immersed into locally symmetric Riemannian spaces satisfying suitable curvature conditions (which includes, in particular, a Riemannian space with constant sectional curvature). As an application, we derive a nonexistence result concerning strongly stable hypersurfaces in these ambient spaces.
Sich schliessende p-Ecke aus Evoluten.
Similarity motions in with plane trajectories
In this paper the author finds and describes all similarity space motions, which have only plane trajectories of points. All such motions are explicitly expressed. They are of 5 types, all of them cylindrical. Trajectories are conic sections (3 types) or arbitrary plane curves (2 types).
Simons Type Equation in and and Applications
Let be an immersed surface in with constant mean curvature. We consider the traceless Weingarten operator associated to the second fundamental form of the surface, and we introduce a tensor , related to the Abresch-Rosenberg quadratic differential form. We establish equations of Simons type for both and . By using these equations, we characterize some immersions for which or is appropriately bounded.