Results 1 to 10 of about 12,561 (233)

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   +2 more
exaly   +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

Two-Root Riemannian Manifolds [PDF]

Mediterranean Journal of Mathematics, 2023
Osserman manifolds are a generalization of locally two-point homogeneous spaces. We introduce $k$-root manifolds in which the reduced Jacobi operator has exactly $k$ eigenvalues. We investigate one-root and two-root manifolds as another generalization of locally two-point homogeneous spaces. We prove that there is no two-root Riemannian manifold of odd
Andrejić, Vladica
openaire   +3 more sources

Conformality on Semi-Riemannian Manifolds [PDF]

Mediterranean Journal of Mathematics, 2015
The authors present an interesting study for a class \((C)\) of maps (conformal semi-Riemannian maps) between semi-Riemannian manifolds. The class \((C)\) contains semi-Riemannian submersions and isometric immersions. Some examples are given. A characterization is the following: Theorem 1.
Bejan, Cornelia-Livia, Eken, Semsi
openaire   +4 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

Geodesic Mappings of Semi-Riemannian Manifolds with a Degenerate Metric

Mathematics, 2022
This article introduces the concept of geodesic mappings of manifolds with idempotent pseudo-connections. The basic equations of canonical geodesic mappings of manifolds with completely idempotent pseudo-connectivity and semi-Riemannian manifolds with a ...
Igor G. Shandra, Josef Mikeš
doaj   +1 more source

Integral Formulas for Almost Product Manifolds and Foliations

Mathematics, 2022
Integral formulas are powerful tools used to obtain global results in geometry and analysis. The integral formulas for almost multi-product manifolds, foliations and multiply twisted products of Riemannian, metric-affine and sub-Riemannian manifolds, to ...
Vladimir Rovenski
doaj   +1 more source

Tensor invariants of generalized Kenmotsu manifolds [PDF]

E3S Web of Conferences, 2021
In this paper, we study the properties of generalized Kenmotsu manifolds, consider the second-order differential geometric invariants of the Riemannian curvature tensor of generalized Kenmotsu manifolds (by the symmetry properties of the Riemannian ...
Shihab Ali Abdul Al Majeed, Rustanov Aligadzhi   +1 more
doaj   +1 more source

Riemannian Hilbert Manifolds [PDF]

, 2017
In this article we collect results obtained by the authors jointly with other authors and we discuss old and new ideas. In particular we discuss singularities of the exponential map, completeness and homogeneity for Riemannian Hilbert quotient manifolds.
Biliotti, Leonardo, Mercuri, Francesco
openaire   +3 more sources