Differential invariants of submersions

The monograph is dedicated to the late father of the author, Candidate of Physical and Mathematical Sciences, Associate Professor Sharipov Fazliddin.The monograph is devoted to the study of differential invariants of submersions with respect to groups of transformations. It consists of an introduction, three chapters, a conclusion, and a list of references. The first chapter of the monograph contains the necessary concepts and facts for the exposition of the work. The second chapter investigates the geometry of submersions, in particular, finding the differential invariants of one-parameter transformation groups. The third chapter studies the differential invariants of submersions with respect to conformal transformation groups. The monograph is designed for mathematicians working in geometry, control theory, and dynamical systems.

Autorentext

The author, Khurshid Fazliddinovich Sharipov, was born in 1989 into a family of mathematicians. His father Sharipov Fazliddin worked at Samarkand State University. H.F.Sharipov completed his master's degree in 2012 at Samarkand State University. He received his PhD in Physics and Mathematics in 2021.