Results 11 to 20 of about 64,208 (273)

A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

open access: yesAbstract and Applied Analysis, 2012
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
doaj   +2 more sources

Holonomy and submanifold geometry [PDF]

open access: yes, 2002
We survey applications of holonomic methods to the study of submanifold geometry, showing the consequences of some sort of extrinsic version of de Rham decomposition and Berger's Theorem, the so-called Normal Holonomy Theorem.
Console, S.   +2 more
core   +5 more sources

Capturing the edge of chaos as a spectral submanifold in pipe flows [PDF]

open access: yesJournal of Fluid Mechanics, 2023
An extended turbulent state can coexist with the stable laminar state in pipe flows. We focus here on short pipes with additional discrete symmetries imposed.
Bálint Kaszás, George Haller
semanticscholar   +1 more source

Symplectic reduction along a submanifold [PDF]

open access: yesCompositio Mathematica, 2021
We introduce the process of symplectic reduction along a submanifold as a uniform approach to taking quotients in symplectic geometry. This construction holds in the categories of smooth manifolds, complex analytic spaces, and complex algebraic varieties,
Peter Crooks, Maxence Mayrand
semanticscholar   +1 more source

3D Semantic Segmentation with Submanifold Sparse Convolutional Networks [PDF]

open access: yes2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2017
Convolutional networks are the de-facto standard for analyzing spatio-temporal data such as images, videos, and 3D shapes. Whilst some of this data is naturally dense (e.g., photos), many other data sources are inherently sparse.
Benjamin Graham   +2 more
semanticscholar   +1 more source

Inflexible CR submanifolds [PDF]

open access: yesMathematische Zeitschrift, 2016
to appear in Math ...
Brinkschulte, Judith, Denson Hill, C.
openaire   +2 more sources

Generative Image Inpainting with Submanifold Alignment [PDF]

open access: yesInternational Joint Conference on Artificial Intelligence, 2019
Image inpainting aims at restoring missing regions of corrupted images, which has many applications such as image restoration and object removal. However, current GAN-based generative inpainting models do not explicitly exploit the structural or textural
Ang Li   +4 more
semanticscholar   +1 more source

The isoperimetric inequality for a minimal submanifold in Euclidean space [PDF]

open access: yes, 2019
We prove an isoperimetric inequality which holds for minimal submanifolds in Euclidean space of arbitrary dimension and codimension. Our estimate is sharp if the codimension is at most $2$.
S. Brendle
semanticscholar   +1 more source

Higher-dimensional Willmore energies via minimal submanifold asymptotics [PDF]

open access: yesAsian Journal of Mathematics, 2017
A conformally invariant generalization of the Willmore energy for compact immersed submanifolds of even dimension in a Riemannian manifold is derived and studied.
C. Graham, Nicholas Reichert
semanticscholar   +1 more source

Braided Cartan calculi and submanifold algebras [PDF]

open access: yesJournal of Geometry and Physics, 2019
We construct a noncommutative Cartan calculus on any braided commutative algebra and study its applications in noncommutative geometry. The braided Lie derivative, insertion and de Rham differential are introduced and related via graded braided ...
T. Weber
semanticscholar   +1 more source

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