Horizontal, Contact and Partially Horizontal Immersions in Fat Distributions

Date of Submission

June 2021

Date of Award

6-1-2022

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Mathematics

Department

Theoretical Statistics and Mathematics Unit (TSMU-Kolkata)

Supervisor

Datta, Mahuya (TSMU-Kolkata; ISI)

Abstract (Summary of the Work)

In this thesis we study Gromov's h-Principle in the context of immersions horizontal to a given distribution. We prove Gromov's overregularity theorem in full generality and extend it to other classes of maps, e.g, isocontact and partially horizontal immersions. Using this, we prove the h-principle for horizontal and isocontact immersions into certain fat distributions. We also obtain the existence of such maps by resolving the obstruction theoretic problem. We have proved some new h-principles for partially horizontal immersions as well

Comments

ProQuest Collection ID: https://www.proquest.com/pqdtlocal1010185/dissertations/fromDatabasesLayer?accountid=27563

Control Number

ISILib-TH551

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

DOI

http://dspace.isical.ac.in:8080/jspui/handle/10263/2146

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