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Slant and Semi-Slant Submanifolds in Metallic Riemannian Manifolds [PDF]

Journal of Function Spaces, 2018
The aim of our paper is to focus on some properties of slant and semi-slant submanifolds of metallic Riemannian manifolds. We give some characterizations for submanifolds to be slant or semi-slant submanifolds in metallic or Golden Riemannian manifolds ...
Cristina E. Hretcanu, Adara M. Blaga
doaj   +2 more sources

Learning neural operators on Riemannian manifolds [PDF]

National Science Open, 2023
Learning mappings between functions (operators) defined on complex computational domains is a common theoretical challenge in machine learning. Existing operator learning methods mainly focus on regular computational domains, and have many components ...
Chen Gengxiang, Liu Xu, Meng Qinglu, Chen Lu, Liu Changqing, Li Yingguang   +5 more
doaj   +2 more sources

Global Weak Rigidity of the Gauss-Codazzi-Ricci Equations and Isometric Immersions of Riemannian Manifolds with Lower Regularity. [PDF]

J Geom Anal, 2018
We are concerned with the global weak rigidity of the Gauss–Codazzi–Ricci (GCR) equations on Riemannian manifolds and the corresponding isometric immersions of Riemannian manifolds into the Euclidean spaces.
Chen GG, Li S.
europepmc   +3 more sources

Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]

Heliyon
This paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman, Aydin Gezer, Mohammad Nazrul Islam Khan, Sedanur Ucan   +3 more
doaj   +2 more sources

Heterogeneous Riemannian Manifolds [PDF]

International Journal of Mathematics and Mathematical Sciences, 2010
We solve Ambrose's Problem for a generic class of Riemannian metrics on a smooth manifold, namely, the class of heterogeneous metrics.
James J. Hebda
doaj   +2 more sources

Semi-Slant Submersions from Almost Product Riemannian Manifolds

Demonstratio Mathematica, 2016
In this paper, we introduce semi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give some examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion.
Gündüzalp Yılmaz
doaj   +2 more sources

Anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds

Filomat, 2015
We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic.
MURATHAN, CENGİZHAN, Erken, Irem Kupeli
openaire   +4 more sources

A Study of Clairaut Semi-Invariant Riemannian Maps from Cosymplectic Manifolds

Axioms, 2022
In the present note, we characterize Clairaut semi-invariant Riemannian maps from cosymplectic manifolds to Riemannian manifolds. Moreover, we provide a nontrivial example of such a Riemannian map.
Yanlin Li, Rajendra Prasad, Abdul Haseeb, Sushil Kumar, Sumeet Kumar   +4 more
doaj   +1 more source

Conformal Riemannian Morphisms between Riemannian Manifolds

The Journal of the Indian Mathematical Society, 2022
In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of isometric immersions, Riemannian submersions, Riemannian maps and conformal Riemannian maps.
Yadav, R. B., Kuppum, Srikanth V.
openaire   +2 more sources

Geometric Inequalities for a Submanifold Equipped with Distributions

Mathematics, 2022
The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
doaj   +1 more source