Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory

CAMCI, Çetin

Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory

Çetin CAMCI (Çanakkale Onsekiz Mart Üniversitesi, Çanakkale, Türkiye)

Turkish Journal of Mathematics

1 0

Yıl: 2012 Cilt: 36 Sayı: 2 Sayfa Aralığı: 305 - 318 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory

Öz:

In this work, we define a new cross product in 3-dimensional almost contact metric manifold and we study the theory of curves using this new cross product in this manifold. Besides, in the works of Baikousis, Blair [1] and Cho et al. [4], we observe that some theorems are incomplete and excessively generalized are thus their alternative proofs presented.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Baikoussis, C. and Blair, D. E.: On Legendre curves in contact 3-manifolds, Geom. Dedicata, 49, 135-142, (1994).
[2] Blair, D. E.: Contact manifolds in Riemannian geometry, Lecture Notes in Math. 509, Springer, Berlin, Hiedelberg, New York, (1976).
[3] Gluck, H.: Higher curvatures of curves in Euclidean space, Am. Math. Month.,73, 699-704, (1966).
[4] Jong Taek Cho, Jun-Ichi Inoguchi and Ji-Eun Lee: On slant curves in Sasakian 3-manifolds, Bull. Austral. Math. soc., 74, 359-367, (2006).
[5] Olszak, Z.: Normal almost contact metric manifolds of dimension three, Ann. Pol. Math. 47, 41-50, (1986).
[6] Tanno, S.: Variational problems on contact metric manifolds, Trans. Amer. Math. Soc. 314, 349-379, (1989).

APA	CAMCI Ç (2012). Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. , 305 - 318.
Chicago	CAMCI Çetin Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. (2012): 305 - 318.
MLA	CAMCI Çetin Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. , 2012, ss.305 - 318.
AMA	CAMCI Ç Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. . 2012; 305 - 318.
Vancouver	CAMCI Ç Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. . 2012; 305 - 318.
IEEE	CAMCI Ç "Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory." , ss.305 - 318, 2012.
ISNAD	CAMCI, Çetin. "Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory". (2012), 305-318.

APA	CAMCI Ç (2012). Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. Turkish Journal of Mathematics, 36(2), 305 - 318.
Chicago	CAMCI Çetin Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. Turkish Journal of Mathematics 36, no.2 (2012): 305 - 318.
MLA	CAMCI Çetin Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. Turkish Journal of Mathematics, vol.36, no.2, 2012, ss.305 - 318.
AMA	CAMCI Ç Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. Turkish Journal of Mathematics. 2012; 36(2): 305 - 318.
Vancouver	CAMCI Ç Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory. Turkish Journal of Mathematics. 2012; 36(2): 305 - 318.
IEEE	CAMCI Ç "Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory." Turkish Journal of Mathematics, 36, ss.305 - 318, 2012.
ISNAD	CAMCI, Çetin. "Extended cross product in a 3-dimensional almost contact metric manifold with applications to curve theory". Turkish Journal of Mathematics 36/2 (2012), 305-318.