A Remark on the Heat Equation and Minimal Morse Functions on Tori and Spheres

Let (M, g) be a compact, connected riemannian manifold that is homogeneous, i.e. each pair of points p, q ∈ M have isometric neighborhoods. This paper is a first step towards an understanding of the extent to which it is true that for each "generic" initial condition ff/∂t = Δgf, f(⋅, 0)...

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Bibliographic Details
Main Authors: Carlos Cadavid, Juan Diego Vélez Caicedo
Format: Article
Language:English
Published: Universidad EAFIT 2013-03-01
Series:Ingeniería y Ciencia
Subjects:
Online Access:http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1839