A remark of submanifolds in conformal and pseudoconformal spaces

Author & Affiliation:
K.C. Petwal (kcptwal@gmail.com)
Department of Mathematics, H.N.B., Garhwal University Campus Badshahi Thaul, Tehri Garhwal - 249199, Uttarakhand (INDIA)
Vineeta Negi
Department of Mathematics, H.N.B., Garhwal University Campus Badshahi Thaul, Tehri Garhwal - 249199, Uttarakhand (INDIA)
Keyword:
Conformal, Pseudoconformal, Hypersphere, Holonomic, Polyspherical
Issue Date:
December 2009
Abstract:

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.

Pages:
691-696
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

K. Petwal; V. Negi, "A remark of submanifolds in conformal and pseudoconformal spaces", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 3, Page Number 691-696, 2018

Copy the following to cite this URL:

K. Petwal; V. Negi, "A remark of submanifolds in conformal and pseudoconformal spaces", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 3, Page Number 691-696, 2018

Available from: https://www.ultrascientist.org/paper/1244/

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