28 citations · 167 across the 20 of their papers we have counts for
27 papers
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…