A group theoretical approach to hydrodynamics considers hydrodynamics to be the
differential geometry of diffeomorphism groups. The principle of least action implies that the …

This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

Catenane, Rotaxane und Knoten-die Synthese und Eigenschaften ineinander zu komplexen
Gebilden verketteter und verzahnter Moleküle stehen im Mittelpunkt dieses Ausflugs in die …

The helicity of a localized solenoidal vector field (ie the integrated scalar product of the field
and its vector potential) is known to be a conserved quantity under 'frozen field'distortion of …

Preface “... ad alcuno, dico, di quelli, che troppo laconicamente vorrebbero vedere, nei piu
angusti spazii che possibil fusse, ristretti i filosofici insegnamenti, sı che sempre si usasse …

Magnetic hopfion is a three-dimensional (3D) topological soliton with novel spin structure
that would enable exotic dynamics. Here, we study the current-driven 3D dynamics of a …

The hemodynamics within the aorta of five healthy humans were investigated to gain insight
into the complex helical flow patterns that arise from the existence of asymmetries in the …

Helicity is, like energy, a quadratic invariant of the Euler equations of ideal fluid flow,
although, unlike energy, it is not sign definite. In physical terms, it represents the degree of …

KNOTS are usually categorized in terms of topological properties that are invariant under
changes in a knot's spatial configuration1–4. Here we approach knot identification from a …

The research presented here examines topological drawing, a new mode of constructing
and interacting with mathematical objects in three-dimensional space. In topological …