Date of Thesis
2010
Description
In 1983, M. van den Berg made his Fundamental Gap Conjecture about the difference between the first two Dirichlet eigenvalues (the fundamental gap) of any convex domain in the Euclidean plane. Recently, progress has been made in the case where the domains are polygons and, in particular, triangles. We examine the conjecture for triangles in hyperbolic geometry, though we seek an for an upper bound for the fundamental gap rather than a lower bound.
Keywords
Fundamental gap, Dirichlet eigenvalues, Laplacian, Hyperbolic triangles
Access Type
Honors Thesis
Major
Mathematics
First Advisor
Emily Dryden
Recommended Citation
Fillebrown, Dennis Stuart, "The Fundamental Gap For Hyperbolic Triangles" (2010). Honors Theses. 32.
https://digitalcommons.bucknell.edu/honors_theses/32
Comments
PUBLIC