Results 101 to 110 of about 9,754 (219)

Zeta function rigidity : a view from noncommutative geometry [PDF]

open access: yes, 2011
In this thesis we study the zeta function formalism of finitely summable spectral triples in noncommutative geometry introduced by Alain Connes in 1995.
de Jong, J.W.W.   +2 more
core  

Polar Actions on Berger Spheres [PDF]

open access: yes, 2006
The object of this article is to study a torus action on a so-called Berger sphere. We also make some comments on polar actions on naturally reductive homogeneous spaces. Finally, we prove a rigidity-type theorem for Riemannian manifolds carrying a polar
ANTONIO J. DI SCALA   +1 more
core   +1 more source

Totally real submanifolds of the nearly kaehler 6-sphere [PDF]

open access: yes, 1997
Totally real 3-dimensiunal submanifolds of the nearly Kaehler 6-sphere are the main topic of this thesis. Having introduced preliminaries on the theory of complex and almost complex manifolds, the nearly Kaehler structure of S(^6) and the non existence ...
Travlopanos, Fotios
core  

On Jacobi fields and canonical connection in sub-Riemannian geometry [PDF]

open access: yes, 2017
Final version, to appear on Archivum MathematicumInternational audienceIn sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like invariants. We show that these coefficients can be interpreted as the curvature of a canonical
Rizzi, L.   +7 more
core   +2 more sources

Heat content asymptotics in sub-Riemannian geometry [PDF]

open access: yes, 2021
Sub-Riemannian geometry is a particularly rich class of metric structures, which generalizes Riemannian geometry, where a smoothly varying metric is defined only on a subset of preferred directions of the tangent space at each point of a smooth manifold ...
Rossi, Tommaso
core  

Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical applications and soliton solutions can be determined from the components of the relevant metric ...
Paul Bracken
doaj   +1 more source

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  

Riemannian-like structures on the set of probability measures: a comparison between Euclidean and discrete spaces [PDF]

open access: yes, 2012
The purpose of this thesis is to present in detail two theories, not deductible from each other, but which obtain very similar results, giving a Riemannian-like structure to the set of probability measures.
DALUISO, ROBERTO
core  

Combinatorial Optimization with Information Geometry: The Newton Method

open access: yesEntropy, 2014
e discuss the use of the Newton method in the computation of max(p → Εp [f]), where p belongs to a statistical exponential family on a finite state space.
Luigi Malagò, Giovanni Pistone
doaj   +1 more source

Riemannian geometry [PDF]

open access: yes, 1996
The author's intent behind this book was to provide to advanced undergraduate and graduate students an introduction to modern Riemannian geometry that could also serve as a reference.
Sakai, Takashi
core  

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