4 papers
Universal Bundles of Metrics and Polymetrics: A Generalization
Shouvik Datta Choudhury
We formalize the ``metric bundle'' viewpoint by defining, for any smooth --manifold , the open fiberwise cones $\mathcal{G}^{p,q}\subset S^2\Tstar M$ of nondegenerate symmetr…
Some generalized inequalities in Riemannian Geometry
Shouvik Datta Choudhury
[1] investigates advanced connotations of Hardy and Rellich-type inequalities on complete noncompact Riemannian manifolds, delving on deriving inequalities that incorporate poignan…
Evolution and Monotonicity of Geometric Constants under Extended Ricci Flows with Variable Coupling Parameters
Shouvik Datta Choudhury
This paper explores the evolution and monotonicity of geometric constants within the framework of extended Ricci flows, incorporating variable coupling parameters. Building on Hami…
Evolution of Functionals Under Extended Ricci Flow
Shouvik Datta Choudhury
In this paper, we investigate the evolution of certain functionals involving higher powers of a scalar quantity under Bernard List's extended Ricci flow on a compact Riemannian…