18 citations · 23 across the 4 of their papers we have counts for
5 papers · 1 filter
Levi-Civita connections from toral actions
Suvrajit Bhattacharjee, Soumalya Joardar, Sugato Mukhopadhyay
We construct tame differential calculi coming from toral actions on a class of -algebras. Relying on the existence of a unique Levi-Civita connection on such a calcul…
Levi-Civita connection for
Sugato Mukhopadhyay
We prove that the calculi on the quantum group satisfy a metric-independent sufficient condition for the existence of a unique bicovariant Levi-Civita connection…
Covariant connections on bicovariant differential calculus
Jyotishman Bhowmick, Sugato Mukhopadhyay
Given a bicovariant differential calculus such that the braiding map is diagonalisable in a certain sense, the bimodule of two-tensors admits a direct sum decomp…
Pseudo-Riemannian metrics on bicovariant bimodules
Jyotishman Bhowmick, Sugato Mukhopadhyay
We study pseudo-Riemannian invariant metrics on bicovariant bimodules over Hopf algebras. We clarify some properties of such metrics and prove that pseudo-Riemannian invariant metr…
Levi-Civita connections for a class of spectral triples
Jyotishman Bhowmick, Debashish Goswami, Sugato Mukhopadhyay
We give a new definition of Levi-Civita connection for a noncommutative pseudo-Riemannian metric on a noncommutative manifold given by a spectral triple. We prove the existence-uni…