Results 121 to 130 of about 1,183,540 (276)

Riemannian manifolds in noncommutative geometry

open access: yesJournal of Geometry and Physics, 2012
We present a definition of Riemannian manifold in noncommutative geometry. Using products of unbounded Kasparov modules, we show one can obtain such Riemannian manifolds from noncommutative spin^c manifolds; and conversely, in the presence of a spin^c structure.
Lord, S., Rennie, A., Varilly, J.
openaire   +4 more sources

A note on closed vector fields

open access: yesAIMS Mathematics
Special vector fields, such as conformal vector fields and Killing vector fields, are commonly used in studying the geometry of a Riemannian manifold. Though there are Riemannian manifolds, which do not admit certain conformal vector fields or certain ...
Nasser Bin Turki   +2 more
doaj   +1 more source

Some elementary observations regarding reductive Cartan geometries

open access: yes, 2016
After defining generalizations of the notions of covariant derivatives and geodesics from Riemannian geometry for reductive Cartan geometries in general, various results for reductive Cartan geometries analogous to important elementary results from ...
Erickson, Jacob W.
core  

Geometry of Foliated Manifolds

open access: yesExtracta Mathematicae, 2016
In this paper some results of the authors on geometry of foliated manifolds are stated and results on geometry of Riemannian (metric) foliations are discussed.
A.Ya. Narmanov, A.S. Sharipov
doaj  

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