Curvatures of Left Invariant Metrics on Lie Group and Parametric Homotopy Principles for a Class of Partial Differential Relations on Closed Manifolds.

Author (Researcher Name)

Amitabh Tiwari Dr., Indian Statistical InstituteFollow

Date of Submission

4-28-1989

Date of Award

2-28-1990

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

Mukherjee, Amiya (TSMU-Kolkata; ISI)

Abstract (Summary of the Work)

The title of this thesis refers to two problems of different nature having no connection between them. These problems ere presented in two parts. In Pert I we have settled two conjectures of Milnor, on Lie groups with left-invariant metrics, in the affirmative and in Part II we have obtained a now Smale - Hirsch - Gromov - type theorem on the homotopy classification of a close of portial differential relations on closed manifolds. More detailed introduotions to these parts are given at the beginning of each part, It has bean our attempt to make the presentations as self-contained as possible. References to a part appears at the end of that part. Results like theorem, proposition, and lemme are numbered consecutively throughout Part II

Comments

ProQuest Collection ID: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:28842937

Control Number

ISILib-TH188

Creative Commons 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

Recommended Citation

Tiwari, Amitabh Dr., "Curvatures of Left Invariant Metrics on Lie Group and Parametric Homotopy Principles for a Class of Partial Differential Relations on Closed Manifolds." (1990). Doctoral Theses. 161.
https://digitalcommons.isical.ac.in/doctoral-theses/161