- Title Information
- Title
- Some New Results in Geometric Analysis
- Abstract
- This thesis presents three results in geometric analysis. We first analyze the curve-shortening flow on figure eight curves in the plane. Afterwards, we examine the point-wise curvature preserving flow on space curves. Lastly, we present an abridgment of our work on a family of three-dimensional Lie groups, which, when equipped with canonical left-invariant metrics, interpolate between Sol and hyperbolic space.
- Name:
Personal
- Name Part
- Coiculescu, Matei P.
- Role
- Role Term (marcrelator)
(authorityURI="http://id.loc.gov/vocabulary/relators", valueURI="http://id.loc.gov/vocabulary/relators/cre")
- creator
- Name:
Personal
- Name Part
- Schwartz, Richard
- Role
- Role Term (marcrelator)
(authorityURI="http://id.loc.gov/vocabulary/relators", valueURI="http://id.loc.gov/vocabulary/relators/ths")
- thesis advisor
- Name:
Personal
- Name Part
- Pausader, Benoit
- Role
- Role Term
- reader
- Name:
Personal
- Name Part
- Tshishiku, Bena
- Role
- Role Term
- reader
- Name:
Corporate
- Name Part
- Brown University. Mathematics
- Role
- Role Term:
Text
- sponsor
- Origin Information
- Copyright Date
- 2021
- Type of Resource (primo)
- text_resources
- Physical Description
- digitalOrigin
- born digital
- Language
- Language Term:
Text (ISO639-2B)
(authorityURI="http://id.loc.gov/vocabulary/iso639-2.html", valueURI="http://id.loc.gov/vocabulary/iso639-2/eng")
- English
- Note:
thesis
- Senior thesis (ScB)--Brown University, 2021
- Note
(displayLabel="Concentration")
- Mathematics
- Genre (aat)
- theses
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00940368")
- Topic
- Geodesics (Mathematics)
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/01747051")
- Topic
- Geometric analysis
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00893484")
- Topic
- Differential equations, Partial
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00893480")
- Topic
- Differential equations, Parabolic
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00893488")
- Topic
- Differential equations, Partial--Numerical solutions
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00998135")
- Topic
- Lie groups
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/00940919")
- Topic
- Geometry, Differential
- Subject (fast)
(authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/")
- Topic
- Hyperbolic Space
- Access Condition:
use and reproduction
- All rights reserved
- Access Condition:
rights statement
(href="http://rightsstatements.org/vocab/InC/1.0/")
- In Copyright
- Access Condition:
restriction on access
- All Rights Reserved
- Identifier:
DOI
- 10.26300/6fjz-ax05