TY  - BOOK
AU  - Bhowmick,Aritra
TI  - Horizontal, contact and partially horizontal immersions in fat distributions
U1  - 514.24 23
PY  - 2021///
CY  - Kolkata
PB  - Indian Statistical Institute
KW  - Mathematics
KW  - Topology
KW  - Homotopy Theory
KW  - H-Principles
KW  - Fat Distribution
N1  - Thesis (Ph.D.) - Indian Statistical Institute, 2021; Includes bibliography and index;  Land, Protest and Civil Society -- Political Violence and Informal Sector -- Investment and Democracy; Guided by Prof. Mahuya Datta
N2  - 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
UR  - http://dspace.isical.ac.in:8080/jspui/handle/10263/7334
ER  -