IEn’deki Wintgen ideal yüzeylerin bir karakterizasyonu A characterization of Wintgen ideal surfaces in

















































KAYNAKLAR Amınov, Yu. A. 2001. The Geometry of Submanifolds. Gordon and Breach Science Publishers, Singapore, 12 pp. Basto-Gonçalvez, J. 2011. Local geometry of surfaces ın R4 . Fundaçao para Ciencia e Tecnologia Pestc/MAT, UI0144/2011: 1-29. Bulca, B. 2012. IE 4 deki Yüzeylerin bir Karakterizasyonu. Doktora Tezi, UÜ Fen Bilimleri, Bursa. Bures, J. 1975. Some remarks on surfaces in the 4-dimensional Euclidean space. Czechoslovak Mathematical Journal, Vol. 25(1975): 480-490. Burstall, F., Ferus, D., Leschke, K., Pedit F. and Pinkall, U. 2002 Conformal Geometry of Surfaces in the 4-Sphere and Quaternions, Lecture Notes in Mathematics. Springer- Verlag, Vol.1772. Carmo, M. P. DO. 1983. Differantial geometrıce Van Kurvenund Flachen ,Viweg Verlag, Weisbaden, Braunschweig Chen, B. Y. 1973. Geometry of Submanifols. Marcel Dekker, New York, 298. Chen, B.-Y. 2010. Classication of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvature. Ann.Global Anal. Geom., 38 (2010): 145-160. Chen, B.-Y. 2011. On Wintgen ideal surfaces, Riemannian Geometry and Applications. Proceedings RIGA., 2011: 59-74. Decu, S., Petrovic-Torga.ev, M., Sebekovic, A., Verstraelen, L. 2010. On the intrinsic Deszcz symmetries and the extrinsic Chen character of Wintgen ideal submanifolds. Tamkang J. Math. 41(2) (2010): 109-116. Dajczer, M., Tojeiro, R. 2008. All superconformal surfaces in R4 in terms of minimal surfaces. Math.DG, Z. 261, 869.890 (2008): 1-17. DeSmet, P.J., Dillen, F., Verstraelen, L., Vrancken, L. 1999. A pointwise inequality in submanifold theory. Archivum Mathematicum, Vol. 35(1999), No. 2: 115-128. Friedrich, T. 1997. On superminimal surfaces. Arch.Math., (Brno)33(1997): 41-56. GANCHEV, G., MILOUSHEVA V. 2008. On the Theory of Surfaces in the Four Dimensional Euclidean Space. Kodai Math. J., 31: 183-198. Geysens, F., Verheyen, L., and Verstraelen, L. 1981. Sur les Surfaces A on les Surfaces de Chen. C.R. Acad. Sc. Paris, I 211(1981). Görgülü, A. 1989. Relatians Between The Mean Curvatures of The Paralel Submanifolds. Commun. Fac. Sci. Univ. Ank. Ser. A, Vol.38, Number 1-2: 87-93 Gray, A. 1993. Modern Differential Geometry of Curves and Surfaces. CRC Pres Inc., USA, 398 pp. Guadalupe, I.V., Rodriguez, L. 1983. Normal curvature of surfaces in space forms. Paci.c J. Math. 106 (1983): 95-103. Gutierrez Nuez, J.M., Romero Fuster, M.C. and Sanchez-Bringas, F. 2008. Codazzi Fields on Surfaces Immersed in Euclidean 4-space. Osaka J. Math., 45 (2008): 877-894. Iyigün, E., Arslan, K., Öztürk, G. 2008.A characterization of Chen Surfaces in E4. Bull. Malays. Math. Sci. Soc. (2) 31(2) (2008): 209-215. Kim, Y. W., Koh, S. E., Shin, H., Yang S. D. 2007. Generalized surfaces with constant H/K in Euclidean three-space. Manuscripta Math, 124(2007): 343-361. Leibmann, H. 1900. Uber die Verbiegung der geschlassenen Flachen positiver Krummung. Math. Ann., 53(1900):81-122. Malkowsky, E., Velitkovic, V. 2001. Visauglization of Differential Geometry. Facto Universitatis, Mechanics, Automatic Control and Robotics., Vol.3, No 11:127-133.
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46. SAYFAYA BENZER SAYFALAR

tabs_sener_yagiz_191898 - Sayfa
...


46. SAYFA ICERIGI

KAYNAKLAR Amınov, Yu. A. 2001. The Geometry of Submanifolds. Gordon and Breach Science Publishers, Singapore, 12 pp. Basto-Gonçalvez, J. 2011. Local geometry of surfaces ın R4 . Fundaçao para Ciencia e Tecnologia Pestc/MAT, UI0144/2011: 1-29. Bulca, B. 2012. IE 4 deki Yüzeylerin bir Karakterizasyonu. Doktora Tezi, UÜ Fen Bilimleri, Bursa. Bures, J. 1975. Some remarks on surfaces in the 4-dimensional Euclidean space. Czechoslovak Mathematical Journal, Vol. 25(1975): 480-490. Burstall, F., Ferus, D., Leschke, K., Pedit F. and Pinkall, U. 2002 Conformal Geometry of Surfaces in the 4-Sphere and Quaternions, Lecture Notes in Mathematics. Springer- Verlag, Vol.1772. Carmo, M. P. DO. 1983. Differantial geometrıce Van Kurvenund Flachen ,Viweg Verlag, Weisbaden, Braunschweig Chen, B. Y. 1973. Geometry of Submanifols. Marcel Dekker, New York, 298. Chen, B.-Y. 2010. Classication of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvature. Ann.Global Anal. Geom., 38 (2010): 145-160. Chen, B.-Y. 2011. On Wintgen ideal surfaces, Riemannian Geometry and Applications. Proceedings RIGA., 2011: 59-74. Decu, S., Petrovic-Torga.ev, M., Sebekovic, A., Verstraelen, L. 2010. On the intrinsic Deszcz symmetries and the extrinsic Chen character of Wintgen ideal submanifolds. Tamkang J. Math. 41(2) (2010): 109-116. Dajczer, M., Tojeiro, R. 2008. All superconformal surfaces in R4 in terms of minimal surfaces. Math.DG, Z. 261, 869.890 (2008): 1-17. DeSmet, P.J., Dillen, F., Verstraelen, L., Vrancken, L. 1999. A pointwise inequality in submanifold theory. Archivum Mathematicum, Vol. 35(1999), No. 2: 115-128. Friedrich, T. 1997. On superminimal surfaces. Arch.Math., (Brno)33(1997): 41-56. GANCHEV, G., MILOUSHEVA V. 2008. On the Theory of Surfaces in the Four Dimensional Euclidean Space. Kodai Math. J., 31: 183-198. Geysens, F., Verheyen, L., and Verstraelen, L. 1981. Sur les Surfaces A on les Surfaces de Chen. C.R. Acad. Sc. Paris, I 211(1981). Görgülü, A. 1989. Relatians Between The Mean Curvatures of The Paralel Submanifolds. Commun. Fac. Sci. Univ. Ank. Ser. A, Vol.38, Number 1-2: 87-93 Gray, A. 1993. Modern Differential Geometry of Curves and Surfaces. CRC Pres Inc., USA, 398 pp. Guadalupe, I.V., Rodriguez, L. 1983. Normal curvature of surfaces in space forms. Paci.c J. Math. 106 (1983): 95-103. Gutierrez Nuez, J.M., Romero Fuster, M.C. and Sanchez-Bringas, F. 2008. Codazzi Fields on Surfaces Immersed in Euclidean 4-space. Osaka J. Math., 45 (2008): 877-894. Iyigün, E., Arslan, K., Öztürk, G. 2008.A characterization of Chen Surfaces in E4. Bull. Malays. Math. Sci. Soc. (2) 31(2) (2008): 209-215. Kim, Y. W., Koh, S. E., Shin, H., Yang S. D. 2007. Generalized surfaces with constant H/K in Euclidean three-space. Manuscripta Math, 124(2007): 343-361. Leibmann, H. 1900. Uber die Verbiegung der geschlassenen Flachen positiver Krummung. Math. Ann., 53(1900):81-122. Malkowsky, E., Velitkovic, V. 2001. Visauglization of Differential Geometry. Facto Universitatis, Mechanics, Automatic Control and Robotics., Vol.3, No 11:127-133.
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