Kennerson Nascimento de Sousa Lima

Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on Aloff-Wallach spaces

We construct 1-parameter families of well-known solutions to the Yamabe problem defined on Aloff-Wallach Spaces to determine bifurcation instants for these homogeneous spaces by examining changes in the Morse index of these metrics as the parameter varies over the positive real n...