Results 41 to 50 of about 47,101 (158)
Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions
Abstract and Applied Analysis, 2012 For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under
M. T. Mustafa
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A systolic inequality with remainder in the real projective plane
Open Mathematics, 2020 The first paper in systolic geometry was published by Loewner’s student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary metric in the real projective plane.
Katz Mikhail G., Nowik Tahl
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Stochastic properties of the Laplacian on Riemannian submersions [PDF]
Geometriae Dedicata, 2012 Based on ideas of Pigolla and Setti \cite{PS} we prove that immersed submanifolds with bounded mean curvature of Cartan-Hadamard manifolds are Feller. We also consider Riemannian submersions $π\colon M \to N$ with compact minimal fibers, and based on various criteria for parabolicity and stochastic completeness, see \cite{Grygor'yan}, we prove that $M$
Brandão, M. Cristiane +1 more
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Almost contact metric 3-submersions
International Journal of Mathematics and Mathematical Sciences, 1984 An almost contact metric 3-submersion is a Riemannian submersion, π from an almost contact metric manifold (M4m+3,(φi,ξi,ηi)i=13,g) onto an almost quaternionic manifold (N4n,(Ji)i=13,h) which commutes with the structure tensors of type (1,1);i.e., π*φi ...
Bill Watson
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Eigenforms of the Laplacian for Riemannian V-submersions [PDF]
Tohoku Mathematical Journal, 2005 Let p: Z -> Y be a Riemannian V-submersion of compact V-manifolds. We study when the pull-back of an eigenform of the Laplacian on Y is an eigenform of the Laplacian on Z, and when the associated eigenvalue can change.
Gilkey, Peter +2 more
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Paracomplex Paracontact Pseudo-Riemannian Submersions [PDF]
Geometry, 2014 We introduce the notion of paracomplex paracontact pseudo-Riemannian submersions from almost para-Hermitian manifolds onto almost paracontact metric manifolds. We discuss the transference of structures on total manifolds and base manifolds and provide some examples.
S. S. Shukla, Uma Shankar Verma
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Journal of Robotics, 2009 A Riemannian-geometry approach for modeling and control of dynamics of object manipulation under holonomic or non-holonomic constraints is presented.
Suguru Arimoto +3 more
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New curvature tensors along Riemannian submersions
Miskolc Mathematical Notes, 2023 In 1966, B. O'Neill [The fundamental equations of a submersion, Michigan Math. J., Volume 13, Issue 4 (1966), 459-469.] obtained some fundamental equations and curvature relations between the total space, the base space and the fibres of a submersion.
Ayar, Gülhan, Akyol M. A.
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On a Submersion Between Reinhart Lightlike Manifolds and Semi-Riemannian Manifolds
, 2008 In this paper, we introduce a new submersion, namely, screen lightlike submersion between a lightlike manifold and a semi-Riemannian manifold. We give an example and obtain a characterization for lightlike manifold to be Reinhart under such submersion ...
Sahin, Bayram
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Transversal Lightlike Submersions
Journal of Advanced Research in Natural and Applied SciencesIn this paper, we introduce the concept of transversal lightlike submersions from semi-Riemannian manifolds onto semi-Riemannian manifolds. Specifically, we present the concepts of transversal r-lightlike and isotropic transversal lightlike submersions ...
Esra Karataş, Cumali Yıldırım
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