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Dergiler / Konuralp Journal of Mathematics / 2026 / Volume: 4 Issue: 1

MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4

Günay Öztürk
Betül Bulca
Bengü K. Bayram
Kadri Arslan
Sayfa
—
Yayın Tarihi
2016-04-01
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give the necessary and sucient conditions for a meridian surface in E4 to become Weingarten type.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we study meridian surfaces of Weingarten type in Euclidean 4-space E4.
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Temel Bulgular & Veri:In this paper, we study meridian surfaces of Weingarten type in Euclidean 4-space E4.
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Sonuç & Katkı:We give the necessary and sucient conditions for a meridian surface in E4 to become Weingarten type.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:meridian surface · Weingarten surface · second fundamental form

Abstract

In this paper, we study meridian surfaces of Weingarten type in Euclidean 4-space E4. We give the necessary and sucient conditions for a meridian surface in E4 to become Weingarten type.

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Bu Makaleye Atıf Yap

Öztürk, G., Bulca, B., Bayram, B. K., Arslan, K. (2016). MERIDIAN SURFACES OF WEINGARTEN TYPE IN 4-DIMENSIONAL EUCLIDEAN SPACE E4. Konuralp Journal of Mathematics, Volume: 4 Issue: 1. https://ajindex.com/articles/1521917

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Kaynakça (20)

  1. K. Arslan and V. Milousheva, Meridian Surfaces of Elliptic or Hyperbolic Type with Pointwise 1-type Gauss map in Minkowski 4-Space, accepted Taiwanese Journal of Mathematics.
  2. B. Bulca, K. Arslan and V. Milousheva, Meridian Surfaces in E4 with Pointwise 1-type Gauss Map, Bull. Korean Math. Soc., 51 (2014), 911{922.
  3. B. Y. Chen, Geometry of Submanifolds, Dekker, New York, 1973.
  4. B. Y. Chen, Pseudo-umbilical surfaces with constant Gauss curvature, Proceedings of the Edinburgh Mathematical Society (Series 2), 18(2) (1972), 143-148.
  5. F. Dillen and W. Kuhnel, Ruled Weingarten surfaces in Minkowski 3-space, Manuscripta Math., 98 (1999), 307-320.
  6. J. A. Galvez, A. Martinez and F. Milan, Linear Weingarten Surfaces in R3, Monatsh. Math., 138 (2003), 133-144.
  7. G. Ganchev and V. Milousheva, Invariants and Bonnet-type theorem for surfaces in R4, Cent. Eur. J. Math., 8(6) (2010) 993-1008.
  8. G. Ganchev and V. Milousheva, Special Class of Meridian Surfaces in the Four-Dimensional Euclidean Space, arXiv: 1402.5848v1 [math.DG], 24 Feb. 2014.
  9. G. Ganchev and V. Milousheva, Geometric Interpretation of the Invariants of a Surface in R4 via Tangent Indicatrix and the Normal Curvature Ellipse, arXiv:0905.4453v1 [math.DG], 27 May 2009.
  10. W. Kuhnel and M. Steller, On Closed Weingarten Surfaces, Monatsh. Math., 146 (2005), 113-126.
  11. Y. H. Kim and D. W. Yoon, Classi cation of ruled surfaces in Minkowski 3-spaces, J. Geom. Phys., 49 (2004), 89-100.
  12. W. Kuhnel, Ruled W-surfaces, Arch. Math., 62 (1994), 475-480.
  13. R. Lopez, On linear Weingarten surfaces, International J. Math., 19 (2008), 439-448.
  14. R. Lopez, Special Weingarten surfaces foliated by circles, Monatsh. Math., 154 (2008), 289- 302.
  15. M. I. Munteanu and A. I. Nistor, Polynomial translationWeingarten surfaces in 3-dimensional Euclidean space, arXiv:0809.4745v1 [math.DG], 27 Sep 2008.
  16. J. Weingarten, Ueber eine Klasse auf einander abwickelbarer Flaachen, J. Reine Angew. Math. 59 (1861), 382{393.
  17. J. Weingarten, Ueber die Flachen, derer Normalen eine gegebene Flache beruhren, J. Reine Angew. Math. 62 (1863), 61-63.
  18. D. W. Yoon, Some properties of the helicoid as ruled surfaces, JP Jour. Geom. Topology, 2 (2002), 141-147.
  19. D. W. Yoon, Polynomial translation surfaces of Weingarten types in Euclidean 3-space, Cent. Eur. J. Math., 8(3) (2010), 430-436.
  20. B. Y. Chen, Geometry of Submanifolds, Dekker, New York, 1973.