Results 141 to 150 of about 62,448 (173)

Underlying Geometric Flow in Hamiltonian Evolution. [PDF]

Entropy (Basel)
Elgressy G, Horwitz L.
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Review: Enrico J. White, The method of iterated tangents with applications in local Riemannian geometry

, 1983
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The Local Möbius Equation and Decomposition Theorems in Riemannian Geometry

Canadian Mathematical Bulletin, 2002
AbstractA partial differential equation, the local Möbius equation, is introduced in Riemannian geometry which completely characterizes the local twisted product structure of a Riemannian manifold. Also the characterizations of warped product and product structures of Riemannian manifolds are made by the local Möbius equation and an additional partial ...
Fernández-López, Manuel, García-Río, Eduardo, Kupeli, Demir N.   +2 more
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Geometry of warped product pointwise semi-slant submanifolds of locally product Riemannian manifolds

Journal of Geometry and Physics, 2020
The authors introduce the notion of pointwise semi-slant submanifolds of locally product Riemannian manifolds as a generalization of pointwise slant submanifolds of almost Hermitian manifolds defined by \textit{B.-Y. Chen} and \textit{O. J. Garay} [Turk. J. Math. 36, No.
Siraj Uddin, Fatimah Alghamdi, Falleh R. Al-Solamy   +2 more
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Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry

Sbornik: Mathematics, 1998
The paper is devoted to the classification of integrable geodesic flows on two-dimensional surfaces. The authors restrict themselves to the following four important equivalence relations on the set of all geodesic flows: (1) isometry, (2) geodesic equivalence, (3) orbital equivalence, (4) Liouville equivalence.
Fomenko, A., Bolsinov, A., Matveev, V.
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Geometry of bi-warped product submanifolds of locally product Riemannian manifolds

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siraj Uddin, Adela Mihai, Ion Mihai, Awatif AL-Jedani   +3 more
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Acoustic source localization in ocean waveguides using principles of Riemannian geometry

Journal of the Acoustical Society of America, 2016
Source localization in underwater acoustics entails a comparison between acoustic fields involving some measure of correlation, looking for similarity between the acoustic field propagated from the true source location and replica fields propagated from different locations in the waveguide.
Steven Finette, Peter Mignerey
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Composition of Local Normal Coordinates and Polyhedral Geometry in Riemannian Manifold Learning

International Journal of Natural Computing Research, 2015
The Local Riemannian Manifold Learning (LRML) recovers the manifold topology and geometry behind database samples through normal coordinate neighborhoods computed by the exponential map. Besides, LRML uses barycentric coordinates to go from the parameter space to the Riemannian manifold in order to perform the manifold synthesis.
Gastão F. Miranda Jr., Gilson Giraldi, Carlos E. Thomaz, Daniel Millàn   +3 more
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Stochastic matched-field localization of an acoustic source based on principles of Riemannian geometry

The Journal of the Acoustical Society of America, 2018
Passive localization of acoustic sources is treated within a geometric framework where non-Euclidean distance measures are computed between a cross-spectral density estimate of received data on a vertical array and a set of stochastic replica steering matrices, rather than traditional replica steering vectors.
Steven, Finette, Peter C, Mignerey
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Local Riemannian Geometry of Foliations

1998
For two arbitrary complementary orthogonal distributions T1 and T2 on TM, we define the structural tensors B1 : T2 × T1 → T1 and B2 : T1 × T2 → T2 by the following formulas: $$ B_1 \left( {y,x} \right) = P_1 \left( {\nabla _x y} \right),{\text{ }}B_2 \left( {x,y} \right) = P_2 \left( {\nabla _y x} \right), $$ (2.1) were P i : TM → T i (i = 1,
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