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Horizontal, contact and partially horizontal immersions in fat distributions/ Aritra Bhowmick

By: Material type: TextTextPublication details: Kolkata; Indian Statistical Institute, 2021Description: 167 pagesSubject(s): DDC classification:
  • 23 514.24 B575
Online resources:
Contents:
Land, Protest and Civil Society -- Political Violence and Informal Sector -- Investment and Democracy
Production credits:
  • Guided by Prof. Mahuya Datta
Dissertation note: Thesis (Ph.D.) - Indian Statistical Institute, 2021 Summary: 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.
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Holdings
Item type Current library Call number Status Notes Date due Barcode Item holds
THESIS ISI Library, Kolkata 514.24 B575 (Browse shelf(Opens below)) Available E-Thesis. Guided by Prof. Mahuya Datta TH551
Total holds: 0

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

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.

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