Results 1 to 10 of about 87,740 (124)

Discrete Riemannian geometry [PDF]

open access: yesJournal of Mathematical Physics, 1999
Within a framework of noncommutative geometry, we develop an analog of (pseudo-) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation. The latter is based on a correspondence between first order differential calculi and digraphs (the vertices of ...
Dimakis, Aristophanes   +1 more
openaire   +5 more sources

Poisson–Riemannian geometry [PDF]

open access: yesJournal of Geometry and Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edwin J. Beggs, Shahn Majid
openaire   +2 more sources

Geometry without topology as a new conception of geometry [PDF]

open access: yes, 2001
A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points).
Rylov, Yuri A.
core   +4 more sources

Cyclic homogeneous Riemannian manifolds [PDF]

open access: yes, 2014
In spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of
Gadea, P. M.   +2 more
core   +2 more sources

On causality violation in Lyra Geometry

open access: yes, 2018
In this paper the causality issues are discussed in a non-Riemannian geometry, called Lyra geometry. It is a non-Riemannian geometry originated from Weyl geometry.
Jesus, W. D. R., Santos, A. F.
core   +1 more source

Riemannian Geometry of Noncommutative Surfaces [PDF]

open access: yes, 2008
A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step towards the construction of a consistent noncommutative gravitational theory.
A. Tureanu   +7 more
core   +2 more sources

Bounded geometry and leaves [PDF]

open access: yes, 2016
The main theorem states that any complete connected Riemannian manifold of bounded geometry can be isometrically realized as a leaf with trivial holonomy in a compact Riemannian foliated space.Comment: 21 pages. To appear in Math. Nachr. arXiv admin note:
Lijó, Ramón Barral   +1 more
core   +2 more sources

On semi-slant $\xi^\perp-$Riemannian submersions

open access: yes, 2017
The aim of the present paper to define and study semi-slant $\xi^\perp-$Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of anti-invariant $\xi^\perp-$Riemannian submersions, semi-invariant $\xi^\perp ...
Akyol, Mehmet Akif, Sarı, Ramazan
core   +1 more source

Transversal Lightlike Submanifolds of Metallic Semi-Riemannian Manifolds

open access: yes, 2018
The Metallic Ratio is fascinating topic that continually generated news ideas. A Riemannian manifold endowed with a Metallic structure will be called a Metallic Riemannian manifold.
Erdoğan, Feyza Esra
core   +1 more source

Elastic Fast Marching Learning from Demonstration

open access: yesAdvanced Intelligent Systems, EarlyView.
This article presents Elastic Fast Marching Learning (EFML), a novel approach for learning from demonstration that combines velocity‐based planning with elastic optimization. EFML enables smooth, precise, and adaptable robot trajectories in both position and orientation spaces.
Adrian Prados   +3 more
wiley   +1 more source

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