Global properties of codimension two spacelike submanifolds in Minkowski space [PDF]
advg, 2009 Abstract We consider codimension two spacelike submanifolds with a parallel normal field (i.e. vanishing normal curvature) in Minkowski space. We use the analysis of their contacts with hyperplanes and hyperquadrics in order to get some global information on them.
Izumiya, Shyuichi +2 more
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Some Aspects of the global Geometry of Entire Space-Like Submanifolds [PDF]
Results in Mathematics, 2001 We prove some Bernstein theorems for entire space-like submanifolds in pseudo-Euclidean spaces and, as a corollary, we obtain a new proof of the Calabi-Pogorelov theorem on global solutions of Monge-Ampere equations.
Jost, J., Xin, Y. L.
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Characterizing W 2,p Submanifolds by p -Integrability of Global Curvatures [PDF]
Geometric and Functional Analysis, 2013 We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed manifold $Σ^m\subset \R^n$ of class $C^1$ and of arbitrary dimension and codimension (or, more generally, an Ahlfors-regular compact set $Σ$ satisfying a mild general condition relating the size of holes in $Σ$ to the flatness of $Σ$ measured in terms of
Kolasinski, S. +2 more
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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
Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
Journal of High Energy Physics, 2020 In this work we introduce the generic conditions for the existence of a non-equilibrium attractor that is an invariant manifold determined by the long-wavelength modes of the physical system.
Alireza Behtash +3 more
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Conformal-twisted product semi-slant submanifolds in globally conformal Kaehler manifolds
Hacettepe Journal of Mathematics and Statistics, 2021 We introduce the notion of conformal-twisted product submanifolds of the form $_fM^{T}\times_{b}M^{\theta}$ and $_fM^{\theta}\times_{b}M^{T}$, where $M^T$ is a holomorphic submanifold and $M^\theta$ is a proper slant submanifold of $M$ in a globally conformal Kaehler manifold and $f$ and $b$ are conformal factor and twisting function, respectively. We
Sibel GERDAN AYDIN, Hakan Mete TAŞTAN
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
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On submanifolds whose shape operator is unipotent [PDF]
, 2006 The object of this article is to characterize submanifolds of the Euclidean space whose shape operator is ...
Di Scala, Antonio Jose'
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Submanifolds with curvature normals of constant length and the Gauss map [PDF]
, 2004 We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis.
A. J. Di Scala +3 more
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A Berger type normal holonomy theorem for complex submanifolds [PDF]
, 2010 We prove a kind of Berger-Simons' Theorem for the normal holonomy group of a complex submanifold of the projective ...
Antonio J. Di Scala +5 more
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