Search Results - "HACISALİHOĞLU, H. Hilmi"
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On the determination of a developable spherical orthotomic ruled surface
Published in Bulletin of mathematical sciences (01-04-2015)“…In this paper, a method for determination of developable spherical orthotomic ruled surfaces is given by using dual vector calculus. We show that dual…”
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Bour's theorem on the Gauss map in 3-Euclidean space
Published in Hacettepe Journal of Mathematics and Statistics (2010)“…In this paper some relations are established between the Laplace- Beltrami operator and the curvatures of helicoidal surfaces in 3- Euclidean space. In…”
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On Closed Ruled Surfaces Concerned with Dual Frenet and Bishop Frames
Published in Journal of dynamical systems and geometric theories (01-05-2011)“…In this paper; the pitch, the angle of pitch and the dual angle of pitch of ruled surface in ℝ 3 which is corresponded to a closed curve on dual unit sphere…”
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Harmonic curvatures and generalized helices in E n
Published in Chaos, solitons and fractals (15-06-2009)“…In n-dimensional Euclidean space E n , harmonic curvatures of a non-degenerate curve defined by Özdamar and Hacisalihoğlu [Özdamar E, Hacısalihoglu HH. A…”
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On the Quaternionic B 2-Slant Helices in the Euclidean Space E 4
Published in Advances in applied Clifford algebras (01-12-2011)Get full text
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Bıharmonıc Curves In Contact Geometry
Published in Communications Series A1 Mathematics & Statistics (01-02-2012)“…We study biharmonic curves in contact geometry whose mean curvature vector eld is in the kernel of Laplacian. We give some results for biharmonic curves in…”
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Surfaces at a constant distance from the edge of regression on a surface
Published in Applied mathematics and computation (26-07-2004)“…Let M be a surface in E 3. We define surface M f at a constant distance from the edge of regression on a surface M and investigate some properties of M f . The…”
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Sayılar teorisi
Published 2010“…Sunulan Sayılar Teorisi kitabında aritmetiğin temel Teorisi, çeşitli özel fonksiyonlar, asal sayılar, mukayeseler, sayıların analitik Teorisi indeksler ve…”
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A characterization of ccr-curves in R(m)
Published in Proceedings of the Estonian Academy of Sciences (2008)“…We study the curve in R(m) for which the ratios between two consecutive curvatures are constant (ccr-curves). We show that closed ccr-curves in Euclidean space…”
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Null generalized helices in $L^3$ and $L^4$, 3 and 4-dimensional Lorentzian space
Published in Mathematical and Computational Applications (2005)“…In this paper we obtain the harmonic curvatures of a null generalized helix in $L^3$ and $L^4$, 3 and 4-dimensional Lorentzian spaces. Thus we another…”
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Harmonic curvatures and generalized helices in En
Published in Chaos, solitons and fractals (15-06-2009)Get full text
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On the characterization of spherical curves in 3-dimensional Sasakian spaces
Published in Journal of mathematical analysis and applications (15-06-2008)“…In this paper, we give the spherical characterization of a regular curve in 3-dimensional Sasakian space. Furthermore the differential equation which expresses…”
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On the Quaternionic B2-Slant Helices in the Euclidean Space E4
Published in Advances in applied Clifford algebras (2011)“…In this paper we give a new definition of harmonic curvature functions in terms of B 2 and we define a new kind of slant helix which we call quaternionic B 2…”
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A characterization of ccr-curves in [R.sup.m]/Ruumi [R.sup.m] ccr-koverate iseloomustamine
Published in Proceedings of the Estonian Academy of Sciences (01-12-2008)“…We study the curve in [R.sup.m] for which the ratios between two consecutive curvatures are constant (ccr-curves). We show that closed ccr-curves in Euclidean…”
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