Triply Periodic Minimal Surfaces (TPMS) for the Generation of Porous Architectures Using Stereolithography.
Sign Up to like & getrecommendations! Published in 2021 at "Methods in molecular biology"
DOI: 10.1007/978-1-0716-0611-7_2
Abstract: A new generation of sophisticated tissue engineering scaffolds are developed using the periodicity of trigonometric equations to generate triply periodic minimal surfaces (TPMS). TPMS architectures display minimal surface energy that induce typical pore features and… read more here.
Keywords: surfaces tpms; minimal surfaces; periodic minimal; generation ... See more keywords
Calibrated entanglement entropy
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep07(2017)117
Abstract: A bstractThe Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify… read more here.
Keywords: entropy; calibrated entanglement; minimal surfaces; geometry ... See more keywords
Rigidity Theorems of Minimal Surfaces Foliated by Similar Planar Curves
Sign Up to like & getrecommendations! Published in 2017 at "Results in Mathematics"
DOI: 10.1007/s00025-017-0754-9
Abstract: Catenoids, Riemann’s minimal surfaces, and Scherk’s surfaces (doubly periodic minimal surfaces) are classical minimal surfaces in $$\mathbb {R}^3$$R3. The catenoid and Riemann’s minimal surface can be foliated by circles with different radii. Because the Scherk’s… read more here.
Keywords: minimal surface; surface; minimal surfaces; planar curves ... See more keywords
Invariant singular minimal surfaces
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-017-9586-9
Abstract: We classify all singular minimal surfaces in Euclidean space that are invariant by a uniparametric group of translations and rotations. read more here.
Keywords: invariant singular; geometry; minimal surfaces; singular minimal ... See more keywords
Self-intersections of closed parametrized minimal surfaces in generic Riemannian manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-021-09771-8
Abstract: This article shows that for generic choice of Riemannian metric on a compact oriented manifold M of dimension four, the tangent planes at any self-intersection $$p \in M$$ p ∈ M of any prime closed parametrized… read more here.
Keywords: self intersections; minimal surfaces; surfaces generic; intersections closed ... See more keywords
Computation of the conducto-radiative effective heat conductivity of porous media defined by Triply Periodic Minimal Surfaces
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Thermal Sciences"
DOI: 10.1016/j.ijthermalsci.2020.106598
Abstract: Abstract Triply Periodic Minimal Surfaces are attractive porous media for the design of volumetric solar energy receivers; their design involves the evaluation of their heat transfer capabilities in the mixed conductive/radiative mode. We present image-based… read more here.
Keywords: contribution; minimal surfaces; periodic minimal; heat ... See more keywords
Minimal surfaces on mirror-symmetric frames: a fluid dynamics analogy
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2020.391
Abstract: Chaplygin’s hodograph method of classical fluid mechanics is applied to explicitly solve the Plateau problem of finding minimal surfaces. The minimal surfaces are formed between two mirror-symmetric polygonal frames having a common axis of symmetry.… read more here.
Keywords: mirror symmetric; symmetric frames; frames fluid; minimal surfaces ... See more keywords
Stabilizing Differential Interfacial Curvatures by Mismatched Molecular Geometries: Toward Polymers with Percolating 1 nm Channels of Gyroid Minimal Surfaces.
Sign Up to like & getrecommendations! Published in 2022 at "ACS nano"
DOI: 10.1021/acsnano.2c09103
Abstract: Soft materials with self-assembled networks possess saddle-shaped interfaces with distributed negative Gaussian curvatures. The ability to stabilize such a geometry is critically important for various applications but can be challenging due to the possibly "deficient"… read more here.
Keywords: differential interfacial; interfacial curvatures; minimal surfaces; curvatures mismatched ... See more keywords
The uniqueness of Enneper’s surfaces and Chern–Ricci functions on minimal surfaces
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DOI: 10.1080/17476933.2017.1423478
Abstract: ABSTRACT We use two flat structures constructed by Chern and Ricci to build harmonic functions on negatively curved minimal surfaces in . Our main goal is to establish two new uniqueness results that a minimal… read more here.
Keywords: ricci functions; enneper surfaces; uniqueness enneper; minimal surfaces ... See more keywords
A New Golden Age of Minimal Surfaces
Sign Up to like & getrecommendations! Published in 2017 at "Notices of the American Mathematical Society"
DOI: 10.1090/noti1500
Abstract: We give a brief tour on some of the recent developments in classical minimal surface theory, specially those where the work of Colding and Minicozzi on compactness properties of embedded minimal disks in Euclidean three-space… read more here.
Keywords: new golden; golden age; minimal surfaces; age minimal ... See more keywords
The geometry of stable minimal surfaces in metric Lie groups
Sign Up to like & getrecommendations! Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7634
Abstract: We study geometric properties of compact stable minimal surfaces with boundary in homogeneous 3-manifolds $X$ that can be expressed as a semidirect product of $\mathbb{R}^2$ with $\mathbb{R}$ endowed with a left invariant metric. For any… read more here.
Keywords: surfaces metric; geometry stable; geometry; stable minimal ... See more keywords