Results 1 to 10 of about 29,252 (258)
Symplectic reduction along a submanifold [PDF]
Compositio 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
Submanifolds of Almost-Complex Metallic Manifolds
Mathematics, 2023 Our paper aims to study the geometry of submanifolds of an almost-complex metallic manifold. We give an example of this type of manifold, and reveal the fundamental properties of structure induced on submanifolds.
Ayşe Torun, Mustafa Özkan
doaj +1 more source
A new multimodal planning algorithm based on PRM [PDF]
ITM Web of Conferences, 2022 The robot motion planning problem has a unique multimodal structure, where the space of feasible configuration consists of intersecting submanifolds.
Qin Huanchang +5 more
doaj +1 more source
3D Semantic Segmentation with Submanifold Sparse Convolutional Networks [PDF]
2018 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
An Algebraic Inequality with Applications to Certain Chen Inequalities
Axioms, 2021 We give a simple proof of the Chen inequality for the Chen invariant δ(2,…,2)︸k terms of submanifolds in Riemannian space forms.
Ion Mihai, Radu-Ioan Mihai
doaj +1 more source
The (α,p)-Golden Metric Manifolds and Their Submanifolds
Mathematics, 2023 The notion of a golden structure was introduced 15 years ago by the present authors and has been a constant interest of several geometers. Now, we propose a new generalization apart from that called the metallic structure, which is also considered by the
Cristina E. Hretcanu, Mircea Crasmareanu
doaj +1 more source
Contact-Complex Riemannian Submersions
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
doaj +1 more source
Generative Image Inpainting with Submanifold Alignment [PDF]
International 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]
, 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]
Asian 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