Some New Results in Geometric Analysis

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Year:: 2021
Contributor:: Coiculescu, Matei P. (creator); Schwartz, Richard (thesis advisor); Pausader, Benoit (reader); Tshishiku, Bena (reader); Brown University. Mathematics (sponsor)
Genre:: theses
Subject:: Geodesics (Mathematics); Geometric analysis; Differential equations, Partial; Differential equations, Parabolic; Differential equations, Partial--Numerical solutions; Lie groups; Geometry, Differential; Hyperbolic Space
Language:: English
DOI: https://doi.org/10.26300/6fjz-ax05

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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.
Notes:: Senior thesis (ScB)--Brown University, 2021; Concentration: Mathematics

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Coiculescu, Matei P., "Some New Results in Geometric Analysis" (2021). Mathematics Theses and Dissertations. Brown Digital Repository. Brown University Library. https://doi.org/10.26300/6fjz-ax05

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Mathematics Theses and Dissertations

Theses and Dissertations for the Mathematics department.
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