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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Normal Anti-Invariant Submanifolds of Paraquaternionic Kähler Manifolds [PDF]
Surveys in Mathematics and its Applications, 2006 We introduce normal anti-invariant submanifolds of paraquaternionic Kähler manifolds and study the geometric structures induced on them. We obtain necessary and sufficient conditions for the integrability of the distributions defined on a normal anti ...
Novac-Claudiu Chiriac
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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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Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map [PDF]
, 2023 The theory of finite type submanifolds was introduced by the first author in late 1970s and it has become a useful tool for investigation of submanifolds. Later, the first author and P.
Chen, Bang-Yen +8 more
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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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f-BIHARMONIC SUBMANIFOLDS AND f-BIHARMONIC INTEGRAL SUBMANIFOLDS IN LOCALLY CONFORMAL ALMOST COSYMPLECTIC SPACE FORMS [PDF]
, 2022 In this paper, we have studied f-biharmonic submanifolds in locally conformal almost cosymplectic space forms and have derived condition on second fundamental form for f-biharmonic submanifolds.
Siddiqui, Aliya Naaz +2 more
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Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations [PDF]
SIAM Journal on Applied Dynamical Systems, 2019 For a nondegenerate analytic system with a conserved quantity, a classic result by Lyapunov guarantees the existence of an analytic manifold of periodic orbits tangent to any two-dimensional, elliptic eigenspace of a fixed point satisfying nonresonance conditions.
Rafael de la Llave, Florian Kogelbauer
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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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