Results 31 to 40 of about 115,211,235 (99)
TWO CLOSED GEODESICS ON COMPACT SIMPLY CONNECTED BUMPY FINSLER MANIFOLDS
, 2016 We prove the existence of at least two distinct closed geodesics on a compact simply connected manifold M with a bumpy and irreversible Finsler metric, when H* (M; Q) congruent to T-d,T-h+1(x) for some integer h >= 2 and even integer d >= 2 ...
Yiming Long +5 more
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Multi-linear Formulation of Differential Geometry and Matris Regularizations
, 2012 We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be formulated in terms of multi-linear algebraic structures on the space of smooth functions.
Hoppe, Jens, +2 more
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On the Geroch-Traschen class of metrics
, 2009 We compare two approaches to semi-Riemannian metrics of low regularity. The maximally 'reasonable' distributional setting of Geroch and Traschen is shown to be consistently contained in the more general setting of nonlinear distributional geometry in the
Steinbauer, R., Vickers, J.A.
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A General Theory of Geodesics with Applications to Hyperbolic Geometry [PDF]
, 1995 In this thesis, the geometry of curved surfaces is studied using the methods of differential geometry. The introduction of manifolds assists in the study of classical two-dimensional surfaces.
Logan, Deborah F
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Geodesics and flows in a Poissonian city [PDF]
, 2009 The stationary isotropic Poisson line network was used to derive upper bounds on mean excess network-geodesic length in Aldous and Kendall (2008). This new paper presents a study of the geometry and fluctuations of near-geodesics in such a network ...
Kendall, W. S.
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, 2012 This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry.
Ulrich Bunke +4 more
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Geodesics in Sub-Riemannian Geometry
This thesis investigates the fundamental ideas and comparative structure of Riemannian and sub- Riemannian geodesics, the curves that locally minimise length.
Fazil, Adnan
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Initiation to global Finslerian geometry
, 2006 After a brief description of the evolution of thinking on Finslerian geometry starting from Riemann, Finsler, Berwald and Elie Cartan, the book gives a clear and precise treatment of this geometry.
Akbar-Zadeh, Hassan, Akbar-Zadeh, H.
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, 2005 This course is an introduction to differential geometry. Metrics, Lie bracket, connections, geodesics, tensors, intrinsic and extrinsic curvature are studied on abstractly defined manifolds using coordinate charts. Curves and surfaces in three dimensions
Wickramasekera, Neshan Geethike
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Geodesics on the tangent sphere bundle of 3-sphere
, 2013 The Sasaki Riemann metric g(S) on the tangent sphere bundle T1S3 of the unit 3-sphere S-3 is obtained by using the geodesic polar coordinate of S-3. The connection coefficients of the Levi Civita connection of the Sasaki Riemann manifold (T1S3, g(S)) are
Ayhan, İsmet
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