Groups in the category of f-manifolds
Groups of Isometric Transformations, Basic Connections and Splitting results on Riemannian Manifolds
Groups of transformations of a G-structure whic H leave invariant a substructure.
Growth of a primitive of a differential form
For an exact differential form on a Riemannian manifold to have a primitive bounded by a given function , by Stokes it has to satisfy some weighted isoperimetric inequality. We show the converse up to some constants if has bounded geometry. For a volume form, it suffices to have the inequality ( for every compact domain ). This implies in particular the “well-known” result that if is the universal covering of a compact Riemannian manifold with non-amenable fundamental group, then the volume...
Growth of homogeneous spaces, density of discrete subgroups and Kazhdan's property (T).
Growth of Jacobi Fields and Divergence of Geodesics.
Growth of weighted volume and some applications
We define cut-off functions in order to allow higher growth for Dirichlet energy. Our results are generalizations of the classical Cheng-Yau’s growth conditions of parabolicity. Finally we give some applications to the function theory of Kähler and quaternionic-Kähler manifolds.
Grundgleichungen der Stereologie II.
Grundlagen der räumlichen kinematischen Geometrie. I.
Im Artikel sind mit Hilfe der Lieschen Gruppen und Algebren die Eigenschaften und Invarianten der räumlichen Bewegung gefunden.
Grundlagen der räumlichen kinematischen Geometrie. II
Der Artikel ist eine Vorsetzung des ersten Teiles des Artikels und ist der Analyse und der Synthese der helikoidalen Bewegungen gewidmet. Im der Analyse der helikoidalen Bewegungen gewidmeten Teil sind die helikoidale Bewegungen als die Zweischraubenbewegungen charakterisiert und es sind die Invarianten der helikoidalen Bewegungen gefunden. Im, der Synthese der helikoidalen Bewegungen gewiemeten, Teil sind alle helikoidalen Bewegungen, die eine ebene oder gerade oder sphärische Punkttrajektorie...
G-Spaces, the Asymptotic Splitting of L2(M) into Irreducibles.
G-structures of second order defined by linear operators satisfying algebraic relations.
The present work is based on a type of structures on a differential manifold V, called G-structures of the second kind, defined by endomorphism J on the second order tangent bundle T2(V ). Our objective is to give conditions for a differential manifold to admit a real almost product and a generalised almost tangent structure of second order. The concepts of the second order frame bundle H2(V ), its structural group L2 and its associated tangent bundle of second order T2(V ) of a differentiable manifold...
Gyroids of constant mean curvature.
-convex Riemannian submanifolds.
Hamiltonian flows of curves in and vector soliton equations of mKdV and sine-Gordon type.
Hamiltonian systems, Lagrangian tori and Birkhoffs's theorem.
Hamilton-Jacobi theory and moving frames.
Handle attaching in symplectic homology and the Chord Conjecture
Arnold conjectured that every Legendrian knot in the standard contact structure on the 3-sphere possesses a haracteristic chord with respect to any contact form. I confirm this conjecture if the know has Thurston-Bennequin invariant . More generally, existence of chords is proved for a standard Legendrian unknot on the boundary of a subcritical Stein manifold of any dimension. There is also a multiplicity result which implies in some situations existence of infinitely many chords. The proof relies...
H-anti-invariant submersions from almost quaternionic Hermitian manifolds
As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate some properties: the integrability of distributions, the geometry of foliations, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic and give some examples...
Hard balls gas and Alexandrov spaces of curvature bounded above.