Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

You searched for subject:(Diffeomorphsim Stability). One record found.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters

1. Pro, Curtis. On Riemannian Submersions and Diffeomorphism Stability.

Degree: Mathematics, 2012, University of California – Riverside

This thesis consists of work that was carried out in three separate papers that were written during my time at UC, Riverside. Abstract of chapter II: If π:M →  B is a Riemannian Submersion and M has non-negative sectional curvature, O'Neill's Horizontal Curvature Equation shows that B must also have non-negative curvature. We find constraints on the extent to which O'Neill's horizontal curvature equation can be used to create positive curvature on the base space of a Riemannian submersion. In particular, we study when K. Tapp's theorem on Riemannian submersions of compact Lie groups with bi-invariant metrics generalizes to arbitrary manifolds of non-negative curvature.Abstract of Chapter III: Though Riemannian submersions preserve non-negative sectional curvature this does not generalize to Riemannian submersions from manifolds with non-negative Ricci curvature. We give here an example of a Riemannian submersion π: M →  B for which {Ricci}p(M)>0 and at some point p∈ B, {Ricci}p(B)<0. Abstract of Chapter IV: The smallest r so that a metric r – ball covers a metric space M is called the radius of M. The volume of a metric r-ball in the space form of constant curvature k is an upper bound for the volume of any Riemannian manifold with sectional curvature  ≥  k and radius  ≤  r. We show that when such a manifold has volume almost equal to this upper bound, it is diffeomorphic to a sphere or a real projective space.

Subjects/Keywords: Mathematics; Diffeomorphsim Stability; Dual Foliations; Isometric Group Actions; Ricci Curvature; Riemannian Submersions

Stability . . . . . . . . . . . . . . . Recognizing RP 4 . . . . . . . . . . . . . . . . Purse… …Stability . . . . . . . . . . . . . . . . . Bibliography . . . . almost… …combining this with the following diffeomorphism stability theorems. 8 Theorem 11 Let {Mi… …been shown in [35] that diffoemorphism stability holds when the limit space has all… 

Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Pro, C. (2012). On Riemannian Submersions and Diffeomorphism Stability. (Thesis). University of California – Riverside. Retrieved from http://www.escholarship.org/uc/item/2z16d2kf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Pro, Curtis. “On Riemannian Submersions and Diffeomorphism Stability.” 2012. Thesis, University of California – Riverside. Accessed December 02, 2020. http://www.escholarship.org/uc/item/2z16d2kf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Pro, Curtis. “On Riemannian Submersions and Diffeomorphism Stability.” 2012. Web. 02 Dec 2020.

Vancouver:

Pro C. On Riemannian Submersions and Diffeomorphism Stability. [Internet] [Thesis]. University of California – Riverside; 2012. [cited 2020 Dec 02]. Available from: http://www.escholarship.org/uc/item/2z16d2kf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pro C. On Riemannian Submersions and Diffeomorphism Stability. [Thesis]. University of California – Riverside; 2012. Available from: http://www.escholarship.org/uc/item/2z16d2kf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.