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This work presents a setting for the formulation of the mechanics of growing bodies. By the mechanics of growing bodies we mean a theory in which the material structure of the body does not remain fixed. Material points may be added or removed from the body.

On the Convenient Setting for Real Analytic Mappings.

Josef Mattes (1993)

Monatshefte für Mathematik

On the differential geometry of some classes of infinite dimensional manifolds

Maysam Maysami Sadr, Danial Bouzarjomehri Amnieh (2024)

Archivum Mathematicum

Albeverio, Kondratiev, and Röckner have introduced a type of differential geometry, which we call lifted geometry, for the configuration space $Γ_{X}$ of any manifold $X$ . The name comes from the fact that various elements of the geometry of $Γ_{X}$ are constructed via lifting of the corresponding elements of the geometry of $X$ . In this note, we construct a general algebraic framework for lifted geometry which can be applied to various “infinite dimensional spaces” associated to $X$ . In order to define a lifted...

Displaying 1 – 12 of 12

Of the structure of the Euler mapping

On a class of weighted function spaces and related pseudodifferential operators

On a Linearization Theorem of Sternberg for Germs of Diffeomorphisms.

On a synthetic proof of the Ambrose-Palais-Singer theorem for infinitesimally linear spaces

On representation of functionals of local type by differential forms

On some questions of topology for S1-valued fractional Sobolev spaces.

On symmetrically growing bodies.

On the Convenient Setting for Real Analytic Mappings.

On the differential geometry of some classes of infinite dimensional manifolds

On the fundamental group of the space of harmonic 2-spheres in the n-sphere.

On the geometry of free loop spaces.

On the theory of Sobolev-type classes of functions with values in a metric space.

Currently displaying 1 – 12 of 12