Geometry of warped product pointwise semi-slant submanifolds of locally product Riemannian manifolds
Journal of Geometry and Physics, 2020The 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 +2 more
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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, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siraj Uddin +3 more
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Acoustic source localization in ocean waveguides using principles of Riemannian geometry
Journal of the Acoustical Society of America, 2016Source 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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Local Riemannian Geometry of Foliations
1998For 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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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Note on localized solutions of a nonlinear Klein-Gordon equation related to Riemannian geometry
Physical Review D, 1978A nonlinear complex scalar field with a phi/sup 2d//(d - 2) self-interaction is considered in a flat, (d + 1) -dimensional space-time. Conformal techniques familiar in differential geometry become operative in the construction of exact, ''soliton''-type solutions exhibiting finite energies, but exponential decays.
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Graded Riemannian geometry and graded fibre bundles, a context for local super-gauge theories
2005Starting from Kostant's definition of a graded manifold [1], we present graded versions of tensor algebra, Riemannian metrics, Lie groups and actions (these are also defined by Kostant but we present a directly geometrical definition which is more convenient for our purposes), vector bundles, and principal bundles.
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Dualistic Geometry of Locally Inherited Parametrized Densities on Riemannian Manifolds
2022Robert Simon Fong, Peter Tino
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Lie groupoids and semi-local models of singular Riemannian foliations
Annals of Global Analysis and Geometry, 2022Marcos Martins Alexandrino +2 more
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Geometry of Warped Product Semi-Invariant Submanifolds of a Locally Riemannian Product Manifold
2016In this article, we have studied warped product semi-invariant submanifolds in a locally Riemannian product manifold and introduced the notions of a warped product semi-invariant submanifold. We have also proved several fundamental properties of a warped product semi-invariant in a locally Riemannian product manifold.
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