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math.AG2023
Relative connections on Principal bundles and relative equivariant structures
Mainak Poddar, Anoop Singh
We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative ho…
math.DG2023
Generalized complex structure on certain principal torus bundles
Debjit Pal, Mainak Poddar
A principal torus bundle over a complex manifold with even dimensional fiber and characteristic class of type admits a family of regular generalized complex structures (GCS…