Results 41 to 50 of about 15,646,215 (77)

Riemannian submersions, Riemannian maps in Hermitian geometry, and their applications

open access: yes, 2017
Riemannian Submersions, Riemannian Maps in Hermitian Geometry, and their Applications is a rich and self-contained exposition of recent developments in Riemannian submersions and maps relevant to complex geometry, focusing particularly on novel ...
Sahin, Bayram, Sahin B.
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Riemannian Geometry (Abstract) [PDF]

open access: yes, 2015
Riemannian Geometry studies the geometry of curved spaces. It originated with the ideas of the Bernhard Riemann in the 19th century extending Gaussian geometry, or the study of geometry of curves and surfaces contained in 3 dimensional Euclidean ...
Mese, Chikako
core   +1 more source

Riemannian geometry during the second half of the twentieth century

open access: yes, 1999
In the last fifty years of the twentieth century Riemannian geometry has exploded with activity. Berger marks the start of this period with Rauch's pioneering paper of 1951, which contains the first real pinching theorem and an amazing leap in the depth ...
Marcel Berger, Berger, Marcel
core   +1 more source

On area comparison and rigidity involving the scalar curvature [PDF]

open access: yes
In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
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Matter from Space [PDF]

open access: yes, 2009
General Relativity offers the possibility to model attributes of matter, like mass, momentum, angular momentum, spin, chirality etc. from pure space, endowed only with a single field that represents its Riemannian geometry.
Giulini, Domenico
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The geometry of visual experience [PDF]

open access: yes, 2007
In this thesis I examine what the geometry of visual experience is. This is a question which to some has had an a priori answer, and to some its relevance to philosophy has been considered questionable.
Meadows, Phillip
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Contact Semi-Riemannian Structures in CR Geometry: Some Aspects

open access: yes, 2019
There is one-to-one correspondence between contact semi-Riemannian structures ( η , ξ , φ , g ) and non-degenerate almost CR structures ( H , ϑ , J ) .
Domenico Perrone
core   +1 more source

Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature [PDF]

open access: yes, 2013
This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James
core   +1 more source

Some results on infinite dimensional Riemannian geometry

open access: yes, 2006
In this paper we study the local and global properties of a complete Hilbert manifold, proving results of finite dimensional Riemannian geometry in the context of Hilbert ...
BILIOTTI, Leonardo, Biliotti Leonardo
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Geodesics in Sub-Riemannian Geometry

open access: yes
This thesis investigates the fundamental ideas and comparative structure of Riemannian and sub- Riemannian geodesics, the curves that locally minimise length.
Fazil, Adnan
core   +1 more source

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