Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: pathmetric

Sortuj według:

Ogranicz wyniki do:

On Asymmetric Distances

100%

Mennucci A. C. G.

Analysis and Geometry in Metric Spaces

2013

tom 1

200-231

In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length. In the first part we identify a topology in the set of paths that best describes when the above operations are idempotent. As a typical application, we consider the length of paths defined by a Finslerian functional in Calculus of Variations. In the second part we generalize the setting of General metric spaces of Busemann, and discuss the newly found aspects of the theory: we identify three interesting classes of paths, and compare them; we note that a geodesic segment (as defined by Busemann) is not necessarily continuous in our setting; hence we present three different notions of intrinsic metric space.

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Mennucci A. C. G.

1 2013

Wyniki wyszukiwania

On Asymmetric Distances