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ON SOME L1-FINITE TYPE (HYPER)SURFACES IN ℝn+1
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 Title & Authors
ON SOME L1-FINITE TYPE (HYPER)SURFACES IN ℝn+1
Kashani, Seyed Mohammad Bagher;
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 Abstract
We say that an isometric immersed hypersurface x : is of -finite type (-f.t.) if for some positive integer p < , : is smooth and , , , for , where is the kth Newton transformation, is the Hessian of f, , . In this article we study the following(hyper)surfaces in from the view point of -finiteness type: totally umbilic ones, generalized cylinders , ruled surfaces in and some revolution surfaces in .
 Keywords
hypersurfaces;()finite type;
 Language
Korean
 Cited by
1.
SURFACES IN $\mathbb{E}^3$ WITH L1-POINTWISE 1-TYPE GAUSS MAP,;;

대한수학회보, 2013. vol.50. 3, pp.935-949 crossref(new window)
2.
CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP,;;

대한수학회보, 2013. vol.50. 4, pp.1345-1356 crossref(new window)
3.
HYPERSURFACES IN 𝕊4 THAT ARE OF Lk-2-TYPE,;;

대한수학회보, 2016. vol.53. 3, pp.885-902 crossref(new window)
1.
SURFACES IN $\mathbb{E}^3$ WITH L1-POINTWISE 1-TYPE GAUSS MAP, Bulletin of the Korean Mathematical Society, 2013, 50, 3, 935  crossref(new windwow)
2.
Some Integral Formulas for the (r+ 1)th Mean Curvature of a Closed Hypersurface, International Journal of Mathematics and Mathematical Sciences, 2012, 2012, 1  crossref(new windwow)
3.
Classifications of Canal Surfaces with L1-Pointwise 1-Type Gauss Map, Milan Journal of Mathematics, 2015, 83, 1, 145  crossref(new windwow)
4.
On Some -Finite-Type Euclidean Hypersurfaces, ISRN Geometry, 2012, 2012, 1  crossref(new windwow)
5.
Quadric hypersurfaces of L r -finite type, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2013, 54, 2, 625  crossref(new windwow)
6.
On some L 1-finite type Euclidean surfaces, Acta Mathematica Vietnamica, 2013, 38, 2, 303  crossref(new windwow)
7.
CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP, Bulletin of the Korean Mathematical Society, 2013, 50, 4, 1345  crossref(new windwow)
8.
HYPERSURFACES IN 𝕊4THAT ARE OF Lk-2-TYPE, Bulletin of the Korean Mathematical Society, 2016, 53, 3, 885  crossref(new windwow)
9.
Surfaces in $$\mathbb {S}^3$$ S 3 of $$L_1$$ L 1 -2-Type, Bulletin of the Malaysian Mathematical Sciences Society, 2016  crossref(new windwow)
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