  Motivated by the recent realization of space-borne Bose-Einstein Condensate
(BEC) under micro-gravity conditions, we extend the understanding of ultracold
dipolar bosonic gases by exploring their behavior in a novel trapping
configuration known as the ``bubble trap" topology. Utilizing the
three-dimensional numerical simulations within the extended Gross-Pitaevskii
framework, we unveil diverse ground state phases in such a static curved
topology. Subsequently, we investigate the influence of rotation on a dipolar
BEC confined to the surface of a spherical bubble. Our findings reveal that the
rotation of a bubble trap with certain rotation frequencies can modify the
effective local dipole-dipole interaction strength, leading to the induction of
supersolidity and the formation of quantum droplets. In addition, we
demonstrate that a bubble trap can sustain high circulation and the flow also
persists for a longer time. Significantly, adjusting the rf detuning parameter
allows the condensate to achieve hypersonic velocity. Finally, we explore the
impact of drastic change in the topological nature of the trap on the rotating
dipolar BEC, transitioning from a filled shell trap to a bubble trap and vice
versa.
