28 citations · 167 across the 20 of their papers we have counts for
17 papers · 1 filter
On two notions of torsion and metric compatibility of connections in noncommutative geometry
Jyotishman Bhowmick, Bappa Ghosh, Satyajit Guin
We compare the notions of metric-compatibility and torsion of a connection in the frameworks of Beggs-Majid and Mesland-Rennie. It follows that for -preserving connections, c…
The Levi-Civita connection and Chern connections for cocycle deformations of Kähler manifolds
Jyotishman Bhowmick, Bappa Ghosh
We consider unitary cocycle deformations of covariant -differential calculi. We prove that complex structures, holomorphic bimodules and Chern connections on the deformed cal…
Levi-Civita connection on the irreducible quantum flag manifolds
Jyotishman Bhowmick, Bappa Ghosh, Andrey O. Krutov +1
We classify covariant metrics (in the sense of Beggs and Majid) on a class of quantum homogeneous spaces. In particular, our classification implies the existence of a unique (up to…
Levi-Civita connections for conformally deformed metrics on tame differential calculi
Jyotishman Bhowmick, Debashish Goswami, Soumalya Joardar
Given a tame differential calculus over a noncommutative algebra and an -bilinear pseudo-Riemannian metric consider the conformal deformation $ g…
Levi-Civita connections and vector fields for noncommutative differential calculi
Jyotishman Bhowmick, Debashish Goswami, Giovanni Landi
We study covariant derivatives on a class of centered bimodules over an algebra A. We begin by identifying a -submodule which…
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…