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    Browsing by Advisor "Datar, Ved V"

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      • The Momentum Construction Method for Higher Extremal Kähler and Conical Higher cscK Metrics 

        Sompurkar, Rajas Sandeep
        This thesis consists of two parts. In both the parts we study two new notions of canonical K\"ahler metrics on compact K\"ahler manifolds which were introduced by Pingali, viz. `higher extremal K\"ahler metric' and ...
      • On existence and regularity of some complex Hessian equations on Kahler and transverse Kahler manifolds 

        Sivaram, P
        The thesis consists of two parts. In the first part of the thesis, we classify the convergence behaviour of rotationally symmetric solutions to the modified J-flow on the blow-up of the complex projective space at a ...
      • On two complex Hessian equations and convergence of corresponding flows 

        Mete, Ramesh
        This thesis consists of three parts. Two important complex Hessian equations are studied on certain compact K\"ahler manifolds from different perspectives. The first one is the {\em J-equation} introduced independently by ...

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