It has been compared to palates exercise where use of the core muscles - the deep, internal muscles of the abdomen and back are made strong. And they work in tandem with the more superficial muscles of the trunk to support the spine and movement. Certainly, your pole dance twirl, spin, or slide uses both the core and trunk muscles!
Yes, it's been compared to yoga! Yoga is really about creating balance in the body through developing both strength and flexibility. This is done through the performance of poses or postures, each of which has specific physical benefits. The poses can be done quickly in succession, creating heat in the body through movement. Your dance will definitely have lovely poses!
Since your routine will have continuous or controlled movement, it's no doubt an aerobic exercise. Aerobic routines use large muscle groups, is maintained for a long periods and is rhythmic in nature. As you know, regular aerobic exercise improves your fitness as your heart becomes stronger and begins to work better. The result is that the heart can pump more blood (thus increasing oxygen delivery to the tissues) with each heartbeat. The more you work out the fitness increases, so can work out longer with greater intensity and recover quicker at the end of the session.
Don't forget to use Mighty Grip. It's a light, odorless, tasteless, and colorless powder which when applied to the skin produces a non-slip grip. For the more advanced student, Mighty Grip is even more important in order to do the more intricate and advanced dance movements on the pole.
I'd also recommend Brookstone, who produces a great stainless steel cleaner that is odorless and non abrasive. It's enriched with natural oils and has a pleasant lemon scent. This stainless steel cleaner reduces fingerprints and leaves the surface streak-free!