#### Filter Results:

- Full text PDF available (9)

#### Publication Year

1974

2011

- This year (0)
- Last 5 years (0)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

We discuss the analytic properties of curves γ whose global curvature function ρG[γ ]−1 is p-integrable. It turns out that theLp-norm Up(γ ) := ‖ρG[γ ]−1‖Lp is an appropriate model for a self-avoidance energy interpolating between “soft” knot energies in form of singular repulsive potentials and “hard” self-obstacles, such as a lower bound on the global… (More)

We derive the Euler-Lagrange equations for nonlinearly elastic rods with selfcontact. The excluded-volume constraint is formulated in terms of an upper bound on the global curvature of the centre line. This condition is shown to guarantee the global injectivity of the deformation of the elastic rod. Topological constraints such as a prescribed knot and link… (More)

Hypersurfaces of prescribed weighted mean curvature, or F -mean curvature, are introduced as critical immersions of anisotropic surface energies, thus generalizing minimal surfaces and surfaces of prescribed mean curvature. We first prove enclosure theorems in R for such surfaces in cylindrical boundary configurations. Then we derive a general second… (More)

We consider the problem of minimizing the bending energy Eb = R 2 ds on isotopy classes of closed curves in IR3 to model the elastic behaviour of knotted loops of springy wire. A potential of Coulomb type with a small factor as a measure for the thickness of the wire is added to the elastic energy in order to preserve the isotopy class. With a direct method… (More)

- Heiko von der Mosel, Kurt M Herrmann
- Journal of the science of food and agriculture
- 1974

We prove isoperimetric inequalities for general parametric variational double integrals F , whose Lagrangians F depend on the position vector X and on the surface normal N. As an essential tool we introduce Sauvigny’s F -conformal parameters adapted to the parametric integrand and use the notion of generalized mean and Gaussian curvature adapted to the… (More)

- Henryk Gerlach, Heiko von der Mosel
- The American Mathematical Monthly
- 2011

What is the longest rope on the unit sphere? Intuition tells us that the answer to this packing problem depends on the rope’s thickness. For a countably infinite number of prescribed thickness values we construct and classify all solution curves. The simplest ones are similar to the seamlines of a tennis ball, others exhibit a striking resemblance to Turing… (More)

We show with a new variational approach that any Riemannian metric on a multiply connected schlicht domain in R can be represented by globally conformal parameters. This yields a “Riemannian version” of Koebe’s mapping theorem. Mathematics Subject Classification (2000): 30C20, 49J45, 49Q05, 49Q10, 53A10

We prove the existence of conformally parametrized minimizers for parametric two-dimensional variational problems subject to partially free boundary conditions. We establish regularity of class H loc ∩C1,α, 0 < α < 1, up to the free boundary under the assumption that there exists a perfect dominance function in the sense of C.B. Morrey. Mathematics Subject… (More)

- Heidi Stoehr, Heiko von der Mosel, Kurt M Herrmann
- Zeitschrift für Lebensmittel-Untersuchung und…
- 1975

Quantitative data of hydroxycinnamic acids, hydroxybenzoic acids and hydroxycoumarins (after hydrolysis of derivatives) and of catechins are given. -Large quantities of catechins and hydroxycinnamic acid derivatives are found in the young fruit. Related to mg per kg fresh weight these concentrations soon decline sharply, especially during the progressive… (More)