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Philosophical Magazine Volume 87, 2007 - Issue 12
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Original Articles

Constant-angle surfaces in liquid crystals

P. Cermelli Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, ItalyCorrespondence[email protected]
&
A. J. Di Scala Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Pages 1871-1888 | Received 18 Oct 2006, Accepted 05 Nov 2006, Published online: 12 Mar 2007

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Evren Ziplar, Ali Şenol & Yusuf Yayli. (2012) On Weak r-Helix Submanifolds. Journal of Dynamical Systems and Geometric Theories 10:2, pages 139-148.
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Articles from other publishers (30)

Yongqiao Wang, Lin Yang, Yuan Chang & Haiming Liu. (2023) Evolutoids and pedaloids of frontals on timelike surfaces. Open Mathematics 21:1.
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GÜL UĞUR KAYMANLICUMALI EKICIYASIN ÜNLÜTÜRK. (2022) CONSTANT ANGLE RULED SURFACES DUE TO THE BISHOP FRAME IN MINKOWSKI 3-SPACE. Journal of Science and Arts 22:1, pages 105-114.
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LingWei Du & Jian Wang. (2021) On Surfaces Properties of Doubly Warped product Manifolds h I× f B in generalized Robertson-Walker spacetimes . Journal of Physics: Conference Series 2012:1, pages 012124.
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Uğur Dursun & Nurettin Cenk Turgay. (2021) Constant Angle Surfaces in the Lorentzian Warped Product Manifold $$-I \times _{f} \mathbb {E}^2$$. Mediterranean Journal of Mathematics 18:3.
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Ahmad T. Ali. (2020) Non-lightlike constant angle ruled surfaces in Minkowski 3-space. Journal of Geometry and Physics 157, pages 103833.
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Yongqiao Wang, Yuan Chang & Haiming Liu. (2020) Singularities of helix surfaces in Euclidean 3-space. Journal of Geometry and Physics 156, pages 103781.
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Cai-Yun Li & Chun-Gang Zhu. (2020) Construction of the spacelike constant angle surface family in Minkowski 3-space. AIMS Mathematics 5:6, pages 6341-6354.
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Rafael López & Gabriel Ruiz-Hernández. (2019) Surfaces with a canonical principal direction and prescribed mean curvature. Annali di Matematica Pura ed Applicata (1923 -) 198:4, pages 1471-1479.
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Thiago Mendonça. (2019) A new approach on constant angle surfaces in the special linear group. Journal of Geometry 110:2.
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Irene I. Onnis, Apoena Passos Passamani & Paola Piu. (2018) Constant Angle Surfaces in Lorentzian Berger Spheres. The Journal of Geometric Analysis 29:2, pages 1456-1478.
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SIDDIKA ÖZKALDI KARAKUŞ. (2018) A new representation of constant angle surfaces in H²×R with split quaternions. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 68:1, pages 633-642.
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Gülden Altay Suroğlu. Some new characterizations of ruled surfaces with B-focal curve according to Bishop frame in E3. Some new characterizations of ruled surfaces with B-focal curve according to Bishop frame in E3.
Irene I. Onnis & Paola Piu. (2017) Constant angle surfaces in the Lorentzian Heisenberg group. Archiv der Mathematik 109:6, pages 575-589.
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Pascual Lucas & José Antonio Ortega-Yagües. (2016) Helix surfaces and slant helices in the three-dimensional anti-De Sitter space. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 111:4, pages 1201-1222.
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Ana Irina Nistor. (2016) New developments on constant angle property in $${\mathbb {S}}^2\times {\mathbb {R}}$$ S 2 × R. Annali di Matematica Pura ed Applicata (1923 -) 196:3, pages 863-875.
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Tugba Mert & Baki Karlıga. (2017) Constant angle spacelike surface in de Sitter space S₁³. Boletim da Sociedade Paranaense de Matemática 35:3, pages 79-93.
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S. Montaldo, I. I. Onnis & A. Passos Passamani. (2014) Helix surfaces in the special linear group. Annali di Matematica Pura ed Applicata (1923 -) 195:1, pages 59-77.
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Stefano Montaldo & Irene I. Onnis. (2014) Helix surfaces in the Berger sphere. Israel Journal of Mathematics 201:2, pages 949-966.
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Yu Fu & Marian Ioan Munteanu. (2014) Generalized constant ratio surfaces in $\mathbb{E}^3 $. Bulletin of the Brazilian Mathematical Society, New Series 45:1, pages 73-90.
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Yu Fu & Xiaoshu Wang. (2012) Classification of Timelike Constant Slope Surfaces in 3-Dimensional Minkowski Space. Results in Mathematics 63:3-4, pages 1095-1108.
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Yu Fu & Ana Irina Nistor. (2012) Constant Angle Property and Canonical Principal Directions for Surfaces in $${\mathbb{M}^{2}(c) \times {\mathbb{R}_{1}}}$$. Mediterranean Journal of Mathematics 10:2, pages 1035-1049.
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Gareth P. Alexander, Randall D. Kamien & Ricardo A. Mosna. (2012) Conformal smectics and their many metrics. Physical Review E 85:5.
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Yu Fu & Dan Yang. (2012) On constant slope spacelike surfaces in 3-dimensional Minkowski space. Journal of Mathematical Analysis and Applications 385:1, pages 208-220.
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Marian Ioan Munteanu & Ana Irina Nistor. (2011) Complete classification of surfaces with a canonical principal direction in the Euclidean space % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqipC0xg9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Wqpe0x % c9q8qqaqFn0dXdir-xcvk9pIe9q8qqaq-dir-f0-yqaqVeLsFr0-vr % 0-vr0db8meaabaqaciGacaGaaeqabaWaaeaaeaaakeaatuuDJXwAK1 % uy0HMmaeHbfv3ySLgzG0uy0HgiuD3BaGqbaiab-ri8fbaa!4553! $$ \mathbb{E} $$ 3. Central European Journal of Mathematics 9:2, pages 378-389.
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Rafael LÓPEZ & Marian Ioan MUNTEANU. (2011) ON THE GEOMETRY OF CONSTANT ANGLE SURFACES IN Sol3. Kyushu Journal of Mathematics 65:2, pages 237-249.
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Marian Ioan Munteanu. (2010) From golden spirals to constant slope surfaces. Journal of Mathematical Physics 51:7.
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Antonio J. Di Scala & Gabriel Ruiz-Hernández. (2008) Helix submanifolds of euclidean spaces. Monatshefte für Mathematik 157:3, pages 205-215.
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Antonio J. Di Scala. (2009) Weak helix submanifolds of euclidean spaces. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 79:1, pages 37-46.
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Franki Dillen & Marian Ioan Munteanu. (2009) Constant angle surfaces in ℍ2 × ℝ. Bulletin of the Brazilian Mathematical Society, New Series 40:1, pages 85-97.
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