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BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E4 1

Ferdag Kahraman Aksoyak|Yusuf Yayli
대한수학회 (The Korean Mathematical Society)|2014.11|대한수학회보 (Bulletin of the KMS)|제51권 제6호|pp. 1863-1874

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참고문헌

키워드

Gauss mapMinkowski spacepointwise 1-type Gauss maprotation surfacemarginally trapped surface
주제분류수학

초록

In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space E41 . We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.

Abstract

In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space E41 . We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.

참고문헌 (24)

  1. K. Arslan, "Rotational embeddings in E4 with pointwise 1-type Gauss map", Turkish J. Math, 35(3), pp.493~499 (2011)
  2. K. Arslan, "Vranceanu surface in E4 with pointwise 1-type Gauss map", Indian J. Pure. Appl. Math, 42(1), pp.41~51 (2011)
  3. Kadri Arslan, "Tensor product surfaces with pointwise 1-type Gauss map", 대한수학회보, 48(3), pp.601~609 (2011), 대한수학회
  4. B. Y. Chen, "Classification of marginally trapped Lorentzian flat surfaces in E42 and its application to biharmonic surfaces", J. Math. Anal. Appl, 340(2), pp.861~875 (2008)
  5. Bang-Yen Chen, "SURFACES OF REVOLUTION WITH POINTWISE 1-TYPE GAUSS MAP", 대한수학회지, 42(3), pp.447~455 (2005), 대한수학회
  6. B. Y. Chen, "Submanifolds with finite type-Gauss map", Bull. Austral. Math. Soc, 35(2), pp.161~186 (1987)
  7. M. Choi, "Characterization of the helicoid as ruled surfaces with pointwise 1-type Gauss map", Bull. Korean Math. Soc, 38(4), pp.753~761 (2001)
  8. 최미경, "Helicoidal surfaces with pointwise 1-type Gauss map", 대한수학회지, 46(1), pp.215~223 (2009), 대한수학회
  9. M. Choi, "Classification of ruled surfaces with pointwise 1-type Gauss map in Minkowski 3-space", Taiwanese J. Math, 15(3), pp.1141~1161 (2011)
  10. U. Dursun, "Hypersurfaces with pointwise 1-type Gauss map in Lorentz-Minkowski space", Proc. Est. Acad. Sci, 58(3), pp.146~161 (2009)
  11. U. Dursun, "Surfaces in the Euclidean space E4 with pointwise 1-type Gauss map", Hacet. J. Math. Stat, 40(5), pp.617~625 (2011)
  12. U. Dursun, "Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map", Turkish J. Math, 36(4), pp.613~629 (2012)
  13. U. Dursun, "General rotational surfaces in Euclidean space E4 with pointwise 1-type Gauss map", Math. Commun, 17(1), pp.71~81 (2012)
  14. U. Dursun, "On spacelike surfaces in Minkowski 4-space with pointwise 1-type Gauss map of second type", Balkan J. Geom. Appl, 17(2), pp.34~45 (2012)
  15. U. Dursun, "Space-like surfaces in Minkowski space E41 with pointwise 1-type Gauss map", ~
  16. S. Haesen, "Boost invariant marginally trapped surfaces in Minkowski 4-space", Classical Quantum Gravity, 24(22), pp.5441~5452 (2007)
  17. S. Haesen, "Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group", Gen. Relativity Gravitation, 41(8), pp.1819~1834 (2009)
  18. Y. H. Kim, "Ruled surfaces with pointwise 1-type Gauss map", J. Geom. Phys, 34(3-4), pp.191~205 (2000)
  19. 김영호, "Classifications of rotation surfaces in pseudo-Euclidean space", 대한수학회지, 41(2), pp.379~396 (2004), 대한수학회
  20. V. Milousheva, "Marginally trapped surfaces with pointwise 1-type Gauss map in Minkowski 4-space", Int. J. Geom, 2(1), pp.34~43 (2013)
  21. Athoumane Niang, "On rotation surfaces in the Minkowski $3-$dimensional space with pointwise $1$-type gauss map", 대한수학회지, 41(6), pp.1007~1021 (2004), 대한수학회
  22. Athoumane Niang, "Rotation surfaces with 1-type Gauss map", 대한수학회보, 42(1), pp.23~27 (2005), 대한수학회
  23. D. W. Yoon, "Rotation surfaces with finite type Gauss map in E4,", Indian J. Pure. Appl. Math, 32(12), pp.1803~1808 (2001)
  24. D. W. Yoon, "Some properties of the Clifford torus as rotation surface", Indian J. Pure. Appl. Math, 34(6), pp.907~915 (2003)

관련 논문AI추천

On spacelike rotational surfaces with pointwise 1-type Gauss mapUgur Dursun대한수학회 · 대한수학회보2015 · 제52권 제1호ON POINTWISE 1-TYPE GAUSS MAP OF SURFACES IN E3 1 CONCERNING CHENG-YAU OPERATOR김영호, Nurettin Cenk Turgay대한수학회 · 대한수학회지2017 · 제54권 제2호Classifications of rotation surfaces in pseudo-Euclidean space김영호, 윤대원대한수학회 · 대한수학회지2004 · 제41권 제2호Surfaces of revolution with pointwise 1-type Gauss map in pseudo-Galilean space최미경, Dae Won Yoon대한수학회 · 대한수학회보2016 · 제53권 제2호Timelike general rotational surfaces in Minkowski 4-space with density윤대원, Ahmet Kazan, Mustafa Altın대한수학회 · 대한수학회지2024 · 제61권 제6호On rotation surfaces in the Minkowski 3-dimensional spacewith pointwise 1-type gauss mapAthoumane Niang대한수학회 · 대한수학회지2004 · 제41권 제6호

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