Riemannian foliations on manifolds with non-negative curvature

1980Mathematics Subject Classification (1985Revision): 53C12, 57R30     

Dissipative periodic systems and symmetric interpolation in Schur classes

Matrix-valued functions analytic and contractive in the open unit disk (Schur functions) play an important role in system theory. They represent transfer functions of causal time-invariant dissipative systems. In this paper we show how a Schur function can still be associated to a k-periodic system. This function satisfies a certain symmetry condition (conditions (1.7) for k=2 and (4.4) for general k). We study a general bitangential interpolation problem for the Schur functions satisfying this symmetry condition.     

A classification of thin shell theories

This paper gives a modern mathematical analysis of the relationships between several, different linear shell theories. It also discusses the asymptotic role played by membrane theory. It presents theorems on the existence and uniqueness of solutions of membrane equations depending on the concavity of the surface.     

Strong weak interactions

We study the intriguing and attractive possibility that the standard model Higgs particle is very heavy or does not exist at all and that, as a consequence, a spectrum of vector boson bound states emerges.     

Synthesis of (E)-β-fluoromethyleneglutamic acid

A potential dual-enzyme activated inhibitor of γ-aminobutyric acid transaminase, ($\text{E}$)-β-fluoromethyleneglutamic acid, was prepared from ethyl 3,3-dimethylacrylate in 11 steps.     

New extended analogues of TTF via triethylphosphite-mediated reaction

New extended derivatives of TTF bearing cyanoethylsulfanyl or furan groups which cannot be obtained by Wittig-type reaction with Akiba's reagent have been synthesized using a clean, cheap-step and rapid methodology; their electrochemical and optical behavior are studied.     

Synthesis of dihydroxylated polyamines from an erythronolactone

The opening of protected erythronolactone by an amine or a diamine furnished hydroxy-amides. Their multistep functional conversion led to either selectively protected or free dihydroxy-polyamines.