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SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP
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 Title & Authors
SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP
CHEN BANG-YEN; CHOI MIEKYUNG; KIM YOUNG HO;
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 Abstract
In this article, we introduce the notion of pointwise 1-type Gauss map of the first and second kinds and study surfaces of revolution with such Gauss map. Our main results state that surfaces of revolution with pointwise 1-type Gauss map of the first kind coincide with surfaces of revolution with constant mean curvature; and the right cones are the only rational surfaces of revolution with pointwise 1-type Gauss map of the second kind.
 Keywords
surfaces of revolution;circular cylinder;right cone;point-wise 1-type Gauss map;
 Language
English
 Cited by
1.
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HELICOIDAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP,;;;

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3.
HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE,;;;;

대한수학회보, 2010. vol.47. 4, pp.859-881 crossref(new window)
4.
SURFACES WITH POINTWISE 1-TYPE GAUSS MAP,;

한국수학교육학회지시리즈B:순수및응용수학, 2011. vol.18. 4, pp.369-377 crossref(new window)
5.
TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP,;;;;;;

대한수학회보, 2011. vol.48. 3, pp.601-609 crossref(new window)
6.
SURFACES WITH POINTWISE 1-TYPE GAUSS MAP OF THE SECOND KIND,;

한국수학교육학회지시리즈B:순수및응용수학, 2012. vol.19. 3, pp.229-237 crossref(new window)
7.
SURFACES IN $\mathbb{E}^3$ WITH L1-POINTWISE 1-TYPE GAUSS MAP,;;

대한수학회보, 2013. vol.50. 3, pp.935-949 crossref(new window)
8.
CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP,;;

대한수학회보, 2013. vol.50. 4, pp.1345-1356 crossref(new window)
9.
SURFACES OF REVOLUTION SATISFYING ΔIIG = f(G + C),;;

대한수학회보, 2013. vol.50. 4, pp.1061-1067 crossref(new window)
10.
ON THE GAUSS MAP OF GENERALIZED SLANT CYLINDRICAL SURFACES,;;

한국수학교육학회지시리즈B:순수및응용수학, 2013. vol.20. 3, pp.149-158 crossref(new window)
11.
MERIDIAN SURFACES IN 𝔼4 WITH POINTWISE 1-TYPE GAUSS MAP,;;;

대한수학회보, 2014. vol.51. 3, pp.911-922 crossref(new window)
12.
BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E41,;;

대한수학회보, 2014. vol.51. 6, pp.1863-1874 crossref(new window)
1.
Quasi-minimal Lorentz surfaces with pointwise 1-type Gauss map in pseudo-Euclidean 4-space, Journal of Geometry and Physics, 2016, 106, 171  crossref(new windwow)
2.
TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP, Bulletin of the Korean Mathematical Society, 2011, 48, 3, 601  crossref(new windwow)
3.
Spacelike Rotational Surfaces of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E 1 4 ${E^{4}_{1}}$ with Pointwise 1-Type Gauss Map, Mathematical Physics, Analysis and Geometry, 2014, 17, 1-2, 247  crossref(new windwow)
4.
SURFACES WITH POINTWISE 1-TYPE GAUSS MAP OF THE SECOND KIND, The Pure and Applied Mathematics, 2012, 19, 3, 229  crossref(new windwow)
5.
Invariant surfaces with pointwise 1-type Gauss map in Sol3, Journal of Geometry, 2015, 106, 3, 503  crossref(new windwow)
6.
SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE, Journal of the Korean Mathematical Society, 2015, 52, 6, 1337  crossref(new windwow)
7.
BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E41, Bulletin of the Korean Mathematical Society, 2014, 51, 6, 1863  crossref(new windwow)
8.
ON THE GAUSS MAP OF GENERALIZED SLANT CYLINDRICAL SURFACES, The Pure and Applied Mathematics, 2013, 20, 3, 149  crossref(new windwow)
9.
FINITE TYPE OF THE PEDAL OF REVOLUTION SURFACES IN E3, Journal of the Korean Mathematical Society, 2016, 53, 4, 909  crossref(new windwow)
10.
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)
11.
HELICOIDAL SURFACES AND THEIR GAUSS MAP IN MINKOWSKI 3-SPACE, Bulletin of the Korean Mathematical Society, 2010, 47, 4, 859  crossref(new windwow)
12.
MERIDIAN SURFACES IN 𝔼4WITH POINTWISE 1-TYPE GAUSS MAP, Bulletin of the Korean Mathematical Society, 2014, 51, 3, 911  crossref(new windwow)
13.
SURFACES WITH POINTWISE 1-TYPE GAUSS MAP, The Pure and Applied Mathematics, 2011, 18, 4, 369  crossref(new windwow)
14.
SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP IN PSEUDO-GALILEAN SPACE, Bulletin of the Korean Mathematical Society, 2016, 53, 2, 519  crossref(new windwow)
15.
Helicoidal surfaces satisfying $${\Delta ^{II}\mathbf{G}=f(\mathbf{G}+C)}$$ Δ II G = f ( G + C ), Journal of Geometry, 2016, 107, 3, 523  crossref(new windwow)
16.
CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP, Bulletin of the Korean Mathematical Society, 2013, 50, 4, 1345  crossref(new windwow)
17.
Vranceanu surface in % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC % vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz % ZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbb % L8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpe % pae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaam % aaeaqbaaGcbaWefv3ySLgznfgDOjdarCqr1ngBPrginfgDObcv39ga % iyaacqWFecFrdaahaaWcbeqaaGqaaiab+rda0aaaaaa!47D0! $$ \mathbb{E}^4 $$ with pointwise 1- type Gauss map, Indian Journal of Pure and Applied Mathematics, 2011, 42, 1, 41  crossref(new windwow)
18.
General rotational surfaces with pointwise 1-type Gauss map in pseudo-Euclidean space E 2 4, Indian Journal of Pure and Applied Mathematics, 2015, 46, 1, 107  crossref(new windwow)
19.
ON SPACELIKE ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP, Bulletin of the Korean Mathematical Society, 2015, 52, 1, 301  crossref(new windwow)
20.
Classifications of Canal Surfaces with L1-Pointwise 1-Type Gauss Map, Milan Journal of Mathematics, 2015, 83, 1, 145  crossref(new windwow)
21.
FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E4, Honam Mathematical Journal, 2016, 38, 2, 305  crossref(new windwow)
22.
SURFACES OF REVOLUTION SATISFYING ΔIIG = f(G + C), Bulletin of the Korean Mathematical Society, 2013, 50, 4, 1061  crossref(new windwow)
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