• Compactness Theorems for The Spaces of Distance Measure Spaces and Riemann Surface Laminations 

      Divakaran, D (2018-02-18)
      Gromov’s compactness theorem for metric spaces, a compactness theorem for the space of compact metric spaces equipped with the Gromov-Hausdorff distance, is a theorem with many applications. In this thesis, we give a ...
    • Function Theory On Non-Compact Riemann Surfaces 

      Philip, Eliza (2014-06-30)
      The theory of Riemann surfaces is quite old, consequently it is well developed. Riemann surfaces originated in complex analysis as a means of dealing with the problem of multi-valued functions. Such multi-valued functions ...
    • An Introduction to Minimal Surfaces 

      Ram Mohan, Devang S (2017-12-10)
      In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform ...