Search Results - "da Silva, Luiz C B"

Moving frames and compatibility conditions for three-dimensional director fields by da Silva, Luiz C B, Efrati, Efi

“…The geometry and topology of the region in which a director field is embedded impose limitations on the kind of supported orientational order. These…”
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Quantum mechanics of particles constrained to spiral curves with application to polyene chains by Anjos, Eduardo V. S., Pavão, Antonio C., da Silva, Luiz C. B., Bastos, Cristiano C.

“…Context Due to advances in synthesizing lower-dimensional materials, there is the challenge of finding the wave equation that effectively describes quantum…”
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Holomorphic representation of minimal surfaces in simply isotropic space by da Silva, Luiz C. B.

“…It is known that minimal surfaces in Euclidean space can be represented in terms of holomorphic functions. For example, we have the well-known Weierstrass…”
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Compatible Director Fields in R3 by da Silva, Luiz C. B., Bar, Tal, Efrati, Efi

“…The geometry and interactions between the constituents of a liquid crystal, which are responsible for inducing the partial order in the fluid, may locally…”
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Characterization of spherical and plane curves using rotation minimizing frames by Da Silva, Luiz C. B.

“…In this work, we study plane and spherical curves in Euclidean and Lorentz-Minkowski 3-spaces by employing rotation minimizing (RM) frames. By conveniently…”
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Catenaries in Riemannian surfaces by da Silva, Luiz C. B., López, Rafael

“…The concept of catenary has been recently extended to the sphere and the hyperbolic plane by the second author (López, arXiv:2208.13694 ). In this work, we…”
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Moving frames and the characterization of curves that lie on a surface by da Silva, Luiz C. B.

“…In this work we are interested in the characterization of curves that belong to a given surface. To the best of our knowledge, there is no known general…”
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The geometry of Gauss map and shape operator in simply isotropic and pseudo-isotropic spaces by da Silva, Luiz C. B.

“…In this work, we are interested in the differential geometry of surfaces in simply isotropic I 3 and pseudo-isotropic I p 3 spaces, which consists of the study…”
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Curves orthogonal to a vector field in Euclidean spaces by Luiz C. B. da Silva, Gilson S. Ferreira Jr

“…A curve is rectifying if it lies on a moving hyperplane orthogonal to its curvature vector. In this work, we extend the main result of [Chen 2017, Tamkang J…”
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Characterization of manifolds of constant curvature by spherical curves by da Silva, Luiz C. B., da Silva, José D.

“…It is known that the so-called rotation minimizing (RM) frames allow for a simple and elegant characterization of geodesic spherical curves in Euclidean,…”
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Characterization of manifolds of constant curvature by ruled surfaces by da Silva, Luiz C. B., da Silva, José D.

“…We investigate ruled surfaces in 3d Riemannian manifolds, i.e., surfaces foliated by geodesics. In 3d space forms, we find the striction curve, distribution…”
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Characterization of Curves that Lie on a Geodesic Sphere or on a Totally Geodesic Hypersurface in a Hyperbolic Space or in a Sphere by da Silva, Luiz C. B., da Silva, José Deibsom

“…The consideration of the so-called rotation minimizing frames allows for a simple and elegant characterization of plane and spherical curves in Euclidean space…”
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Characterization of Spherical and Plane Curves Using Rotation Minimizing Frames by da Silva, Luiz C. B

“…Bol. Soc. Paran. Mat. (2021) In this work, we study plane and spherical curves in Euclidean and Lorentz-Minkowski 3-spaces by employing rotation minimizing…”
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Curves orthogonal to a vector field in Euclidean spaces by da Silva, Luiz C. B, FerreiraJr, Gilson S

“…J. Korean Math. Soc. 48 (2021) 1485 A curve is rectifying if it lies on a moving hyperplane orthogonal to its curvature vector. In this work, we extend the…”
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Characterization of manifolds of constant curvature by ruled surfaces by da Silva, Luiz C. B, da Silva, José D

“…Sao Paulo J. Math. Sci. 2022 We investigate ruled surfaces in 3d Riemannian manifolds, i.e., surfaces foliated by geodesics. In 3d space forms, we find the…”
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Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spaces by da Silva, Luiz C. B

“…Math. J. Okayama Univ. 63 (2021) 15-52 We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions…”
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Moving frames and compatibility conditions for three-dimensional director fields by da Silva, Luiz C. B, Efrati, Efi

“…The geometry and topology of the region in which a director field is embedded impose limitations on the kind of supported orientational order. These…”
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Rotation minimizing frames and spherical curves in simply isotropic and pseudo-isotropic 3-spaces by da Silva, Luiz C. B

“…Tamkang J. Math. 51 (2020) 31-52 In this work, we are interested in the differential geometry of curves in the simply isotropic and pseudo-isotropic 3-spaces,…”
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Construction of exact minimal parking garages: nonlinear helical motifs in optimally packed lamellar structures by da Silva, Luiz C. B, Efrati, Efi

“…Proc. R. Soc. A 477 (2021) 20200891 Minimal surfaces arise as energy minimizers for fluid membranes and are thus found in a variety of biological systems. The…”
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The geometry of Gauss map and shape operator in simply isotropic and pseudo-isotropic spaces by da Silva, Luiz C. B

“…J. Geom. (2019) 110: 31 In this work, we are interested in the differential geometry of surfaces in simply isotropic $\mathbb{I}^3$ and pseudo-isotropic…”
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