Results 21 to 30 of about 2,721,399 (266)

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

A note on curvature of Riemannian manifolds

Journal of Mathematical Analysis and Applications, 2013
Abstract With the aid of the weak maximum principle at infinity we give some sufficient conditions for Riemannian manifolds to be either Einstein or of constant sectional curvature.
P. Mastrolia, D.D. Monticelli, M. Rigoli
openaire   +2 more sources

A remark on the metric dimension in Riemannian manifolds of constant curvature [PDF]

AUT Journal of Mathematics and Computing
We compute the metric dimension of Riemannian manifolds of constant curvature. We define the edge weghited metric dimension of the geodesic graphs in Riemannian manifolds and we show that each complete geodesic graph $G=(V,E)$ embedded in a Riemannian ...
Shiva Heidarkhani Gilani, Reza Mirzaie, Ebrahim Vatandoost   +2 more
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Index theorems on manifolds with straight ends [PDF]

, 2012
We study Fredholm properties and index formulas for Dirac operators over complete Riemannian manifolds with straight ends. An important class of examples of such manifolds are complete Riemannian manifolds with pinched negative sectional curvature and ...
Ballmann, W., Brüning, J., Carron, G.
core   +2 more sources

Prescribing the curvature of Riemannian manifolds with boundary [PDF]

Calculus of Variations and Partial Differential Equations, 2019
Let $M$ be a compact connected surface with boundary. We prove that the signal condition given by the Gauss-Bonnet theorem is necessary and sufficient for a given smooth function $f$ on $\partial M$ (resp. on $M$) to be geodesic curvature of the boundary (resp. the Gauss curvature) of some flat metric on $M$ (resp. metric on $M$ with geodesic boundary).
Tiarlos Cruz, Feliciano Vitorio
openaire   +3 more sources

A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds [PDF]

مجلة جامعة الانبار للعلوم الصرفة
This paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds.
Mohammed Abass
doaj   +1 more source

A Contribution of Liouville-Type Theorems to the Geometry in the Large of Hadamard Manifolds

Mathematics, 2022
A complete, simply connected Riemannian manifold of nonpositive sectional curvature is called a Hadamard manifold. In this article, we prove Liouville-type theorems for isometric and harmonic self-diffeomorphisms of Hadamard manifolds, as well as ...
Josef Mikeš, Vladimir Rovenski, Sergey Stepanov   +2 more
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On the topology of moduli spaces of non-negatively curved Riemannian metrics [PDF]

, 2019
We study spaces and moduli spaces of Riemannian metrics with non-negative Ricci or non-negative sectional curvature on closed and open manifolds. We construct, in particular, the first classes of manifolds for which these moduli spaces have non-trivial ...
Tuschmann, Wilderich, Wiemeler, Michael
core   +3 more sources

Regularity of Einstein Manifolds and the Codimension 4 Conjecture [PDF]

, 2015
In this paper, we are concerned with the regularity of noncollapsed Riemannian manifolds $(M^n,g)$ with bounded Ricci curvature, as well as their Gromov-Hausdorff limit spaces $(M^n_j,d_j)\stackrel{d_{GH}}{\longrightarrow} (X,d)$, where $d_j$ denotes the
Cheeger, Jeff, Naber, Aaron
core   +1 more source

On generalized semisymmetric Riemannian manifolds

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013
There are several generalizations of the concept of semi-symmetric Riemannian manifolds. In the present paper, we consider some special types of generalized semi-symmetric Riemannian manifolds with positive or negative defined curvature operator or ...
Josef Mikes, Sergey E. Stepanov
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