Results 11 to 20 of about 157 (127)
PETIMOT: a novel framework for inferring protein motions from sparse data using SE(3)-equivariant graph neural networks. [PDF]
Acta Crystallogr D Struct BiolWe present a new formulation for protein flexibility and learn protein motions from sparse experimental data.Proteins move and deform to ensure their biological functions. Despite significant progress in protein structure prediction, approximating conformational ensembles under physiological conditions remains a fundamental open problem.
Lombard V, Van JN, Grudinin S, Laine E.
europepmc +2 more sources
Quantization and Isotropic Submanifolds [PDF]
Michigan Mathematical Journal, 2022 45 pages, final version to appear in Michigan Mathematical ...
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Constant Isotropic Submanifolds with 4-Planar Geodesics [PDF]
Transactions of the American Mathematical Society, 1988 Let f f be an isometric immersion of a Riemannian manifold
Pak, Jin Suk, Sakamoto, Kunio
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Symplectic hypersurfaces in the complement of an isotropic submanifold [PDF]
Mathematische Annalen, 2001 A compact subset \(N\) of \(\mathbb{C}^n\) or more generally of a complex algebraic manifold is said to be rationally convex if there exists a complex algebraic hypersurface passing through any given point in the complement of \(N\) and avoiding \(N\).
Auroux, Denis +2 more
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Isotropic pluriminimal submanifolds
Matemática Contemporânea, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eschenburg, Jost-Hinrich (Prof.) +1 more
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Isotropic submanifolds and coadjoint orbits of the Hamiltonian group [PDF]
Journal of Symplectic Geometry, 2019 We describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms of a symplectic manifold $(M,ω)$ by implementing symplectic reduction for the dual pair associated to the Hamiltonian description of ideal fluids. The description is given in terms of nonlinear Grassmannians (manifolds of submanifolds) with additional geometric ...
Gay-Balmaz, François, Vizman, Cornelia
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Möbius isotropic submanifolds in {$S\sp n$} [PDF]
Tohoku Mathematical Journal, 2001 Let $x:\M^m\to \hs^n$ be a submanifold in the $n$-dimensional sphere $\hs^n$ without umbilics. Two basic invariants of $x$ under the Mobius transformation group in $\hs^n$ are a 1-form $\F$ called the Mobius form and a symmetric $(0,2)$ tensor $\bf A$ called the Blaschke tensor. $x$ is said to be Mobius isotropic in $\hs^n$ if $\F\equiv 0$ and ${\bf A}=
Liu, Huili +2 more
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Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
Tangent Blow‐Ups for Processing Non‐Manifold Geometry
Computer Graphics Forum, EarlyView.Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov +3 more
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Topological and geometric rigidity of nonnegatively curved submanifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
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