dc.contributor.author |
Tagnon, Mèmègnon R. |
|
dc.contributor.author |
Atindogbe, Cyriaque |
|
dc.contributor.author |
Wali, Augustus N. |
|
dc.date.accessioned |
2018-10-01T06:53:55Z |
|
dc.date.available |
2018-10-01T06:53:55Z |
|
dc.date.issued |
2018 |
|
dc.identifier.citation |
International Mathematical Forum, Vol. 13, 2018, no. 9, 427 - 435 |
en_US |
dc.identifier.uri |
http://www.m-hikari.com/imf/imf-2018/9-12-2018/p/tagnonIMF9-12-2018.pdf |
|
dc.identifier.uri |
http://repository.seku.ac.ke/handle/123456789/4266 |
|
dc.description |
https://doi.org/10.12988/imf.2018.8842 |
en_US |
dc.description.abstract |
Given a hypersurface immersion and a transversal vector field, the formula of Gauss
leads to an induced connection and a symmetric bilinear function called affine
fundamental form. We define the norm of tensor field using the affine fundamental
form (assumed to be nondegenerate) and prove that a hypersurface immersion on a
connected compact 𝑛-dimensional differential manifold 𝑀 into the affine space
ℝ𝑛+1 induces an almost affinely flat structure on 𝑀. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Hikari |
en_US |
dc.subject |
Affine (hypersurface) immersion |
en_US |
dc.subject |
curvature tensor |
en_US |
dc.subject |
almost affinely flat |
en_US |
dc.subject |
Riemannian metric |
en_US |
dc.title |
On the Existence of Almost Affinely Flat Structure Induced by Hypersurface Immersion on Connected Compact Manifold |
en_US |
dc.type |
Article |
en_US |