A Note on Invariance for One Form on Smooth
Manifolds

Dr .S. N. BANASODE; JAYASHREE .S. RADDER; SEEMA B PATIL

doi:https://doi.org/10.14445/22315373/IJMTT-V52P540

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 4 | Year 2017 | Article Id. IJMTT-V52P540 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P540

A Note on Invariance for One Form on Smooth Manifolds

Dr .S. N. BANASODE, JAYASHREE .S. RADDER, SEEMA B PATIL

Abstract

In this paper we have considered the natural invariance associated with one forms on smooth manifolds and developed proposition on orthonormal frames transformation from one frame to the other.

Keywords

orthonormal frames, Euclidean framework, smooth manifolds.

References

[1] Akivis, M.A., and V.V.Goldberg,Projective Differential Geometry of S ubmanifolds,North –Holland Publishing Co.,Amsterdam,1993,xii+362pp.(MR 94i:53001;Zbl.865.53013.)
[2] Akivis, M.A., and V.V.Goldberg,On the structure of submanifolds with degenerate Gauss maps.Goem.Dedicata 86 (2001),no.1-3,205-226.(MR 2003a:53014.)
[3] Akivis, M.A., and V.V.Goldberg,Smooth lines on projective planes over two dimensional algebras,Beitrage Algebra Geom.44 (2003),no.1,165-178.
[4] Nomizu,K., and T. Sasaki, Affine Differential Geometry,Canbridge Tracts in Mathematics, 111,Cambridge University Press,Cambridge,1994,xiv+263pp.(MR 96e:53014;Zbl.834.53002.)

Citation :

Dr .S. N. BANASODE, JAYASHREE .S. RADDER, SEEMA B PATIL, "A Note on Invariance for One Form on Smooth Manifolds," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 4, pp. 267-268, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P540