eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences December 2009 21 3 691 696 jusps-A 1244 article K.C. Petwal (kcptwal@gmail.com) 1 Vineeta Negi 1 Department of Mathematics, H.N.B., Garhwal University Campus Badshahi Thaul, Tehri Garhwal - 249199, Uttarakhand (INDIA) <p style="text-align:justify">S. Sasaki¹ has studied the conformal connections on submanifolds and devoted the theory of conformal structure. In the present paper we consider the conformal structure of real manifold, in particular we introduce polyspherical coordinate and develop the method of moving frames and then study the submanifolds in conformal and pseudoconformal spaces. For this we construct an invariant normalization and find out its geometric characterization. We also define the fundamental geometric object, central hyperspheres and m-sphere of submanifolds and then investigate some theorems regarding them.</p> https://www.ultrascientist.org/paper/1244/ Conformal Pseudoconformal Hypersphere Holonomic Polyspherical