Titlebook: Geometry and its Applications; Vladimir Rovenski,Paweł Walczak Conference proceedings 2014 Springer International Publishing Switzerland 2

新字

Cantor Laminations and Exceptional Minimal Sets in Codimension One FoliationsIn this paper we deal with two types of questions concerning the structure of foliations (or laminations) on compact spaces:.The two questions are related by the fact that exceptional minimal sets in codimension one present stronger generic constraints.

拉开这车床

Decline

Osculation in General: An ApproachThis is an essay about osculation, that is, the tangency of highest order of different types, of different objects (hyperplanes, spheres, cyclides, and others), and arbitrary hypersurfaces.

鞠躬

On Cycles and Other Geometric Phenomena in Phase Portraits of Some Nonlinear Dynamical SystemsWe show existence of cycles in some special nonlinear 4-D and 5-D dynamical systems and construct in their phase portraits invariant surfaces containing these cycles. In the 5D case, we demonstrate non-uniqueness of the cycles. Some possible mechanisms of this non-uniqueness are described as well.

相容

flourish

慌张

昏睡中

Prescribing the Mixed Scalar Curvature of a Foliationoportional to the mixed scalar curvature, Scal.. The flow preserves harmonicity of foliations and is used to examine the question: When does a foliation admit a metric with a given property of Scal. (e.g., positive/negative or constant)? If the mean curvature vector of . is leaf-wise conservative, t

figure

The Partial Ricci Flow for Foliations orthogonal to the leaf, .(., .) is the mean value of sectional curvatures over all mixed planes containing .. The flow preserves total umbilicity, total geodesy, and harmonicity of foliations. It is used to examine the question: Which foliations admit a metric with a given property of mixed section

Infiltrate

Stability of Left-Invariant Totally Geodesic Unit Vector Fields on Three-Dimensional Lie Groupsy geodesic image in the unit tangent bundle with the Sasaki metric with respect to classical variations of volume. We prove that among non-flat groups only .(3) of constant curvature + 1 admits stable totally geodesic submanifolds of this kind. Restricting the variations to left-invariant (i.e., equ