Geometrische Methoden zur Gewinnung von A-Priori-Schranken für harmonische Abbildungen.
Geometry of Lagrangean structures. II
Geometry of Mus-Sasaki metric
In this paper, we introduce the Mus-Sasaki metric on the tangent bundle as a new natural metric non-rigid on . First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.
Geometry of the free-sliding Bernoulli beam
If a variational problem comes with no boundary conditions prescribed beforehand, and yet these arise as a consequence of the variation process itself, we speak of the free boundary values variational problem. Such is, for instance, the problem of finding the shortest curve whose endpoints can slide along two prescribed curves. There exists a rigorous geometric way to formulate this sort of problems on smooth manifolds with boundary, which we review here in a friendly self-contained way. As an application,...
Geometry of the rolling ellipsoid
We study rolling maps of the Euclidean ellipsoid, rolling upon its affine tangent space at a point. Driven by the geometry of rolling maps, we find a simple formula for the angular velocity of the rolling ellipsoid along any piecewise smooth curve in terms of the Gauss map. This result is then generalised to rolling any smooth hyper-surface. On the way, we derive a formula for the Gaussian curvature of an ellipsoid which has an elementary proof and has been previously known only for dimension two....
G-Invariante Morse-Funktionen.
Ginzburg-Landau vortices : the static model
-invariant variational principles on frame bundles.
Global bifurcation from the Fučik spectrum
Global existence of the Yang-Mills flow in four dimensions.
Global existence theorems for hyperbolic harmonic maps
Global generalized Bianchi identities for invariant variational problems on gauge-natural bundles
We derive both local and global generalized Bianchi identities for classical Lagrangian field theories on gauge-natural bundles. We show that globally defined generalized Bianchi identities can be found without the a priori introduction of a connection. The proof is based on a global decomposition of the variational Lie derivative of the generalized Euler-Lagrange morphism and the representation of the corresponding generalized Jacobi morphism on gauge-natural bundles. In particular, we show that...
Global homeomorphism theorem for manifolds and polyhedra
Global minimizers for axisymmetric multiphase membranes
We consider a Canham − Helfrich − type variational problem defined over closed surfaces enclosing a fixed volume and having fixed surface area. The problem models the shape of multiphase biomembranes. It consists of minimizing the sum of the Canham − Helfrich energy, in which the bending rigidities and spontaneous curvatures are now phase-dependent, and a line tension penalization for the phase interfaces. By restricting attention to axisymmetric surfaces and phase distributions, we extend our previous...
Global Several-Parameter Bifurcation and Continuation Theorems: a UnifiedApproach Via Complementing Maps.
Global weak solutions of the wave map system to compact homogeneous spaces.
Gluing approximate solutions of minimum type on the Nehari manifold.
Gradient estimates and blow-up analysis for stationary harmonic maps.
Gradient flow for the one-dimensional Mumford-Shah functional
Gradient methods for the construction of Ljusternik-Schnirelmann critical values