Related papers: Around distance-squared mappings
A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. In this paper, we define naturally extended mappings of distance-squared functions, wherein each…
A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. Moreover, distance-squared mappings are naturally extended mappings of distance-squared functions,…
We define generalized distance-squared mappings, and we concentrate on the plane to plane case. We classify generalized distance-squared mappings of the plane into the plane in a recognizable way.
This paper is concerned with analysis on metric spaces in a variety of settings and with several kinds of structure.
This survey gives a brief overview of theoretically and practically relevant algorithms to compute geodesic paths and distances on three-dimensional surfaces. The survey focuses on polyhedral three-dimensional surfaces.
This is a survey on coarse geometry with an emphasis on coarse homology theories.
This is a survey article to appear in the "Handbook on Teichmueller Theory".
It is a survey paper on n-dimensional local fields and adeles on n-dimensional schemes.
This is a survey of the area mentioned in the title.
This is a survey article on classical groups (over arbitrary division rings) and their geometries.
The purpose of this paper is to give a survey on the notions of distance between subsets either of a metric space or of a measure space, including definitions, a classification, and a discussion of the best-known distance functions, which…
This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.
Survey article on the geometry of spherical varieties. Invited survey for Transformation Groups.
This paper provides an overview of modern digital geometry and topology through mathematical principles, algorithms, and measurements. It also covers recent developments in the applications of digital geometry and topology including image…
This is a survey paper on Alegbraic Geometry over Lie Algebras
This survey is an invitation to recent developments in higher dimensional birational geometry.
This text is a survey on symmetric matrices. It serves as a script for a module to be taught at university.
There are various concepts of structure preserving mappings in geometry. It is the aim of the present paper to give a survey on geometrical characterizations of some of those mappings. We discuss the results for projective spaces in some…
This is a latest survey article on embeddings of multibranched surfaces into 3-manifolds.
A number of topics involving metrics and measures are discussed, including some of the special structure associated with ultrametrics.