TL;DR
This paper compiles techniques in Alexandrov's geometry that relate to convexity, focusing on semiconcave functions and their properties within the geometric framework.
Contribution
It provides a collection of methods connecting convexity concepts with semiconcave functions in Alexandrov's geometry.
Findings
Semiconcave functions exhibit specific convexity-related properties in Alexandrov spaces.
Techniques developed aid in understanding geometric and analytical aspects of Alexandrov spaces.
The compilation enhances tools available for studying convexity in non-smooth geometric contexts.
Abstract
The following is a compilation of some techniques in Alexandrov's geometry which are directly connected to convexity.
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