Results 81 to 90 of about 88,622 (197)
OSSERMAN LIGHTLIKE HYPERSURFACE CASES
Al-UlumIn this study, we constructed four examples of light-like hypersurfaces that satisfy the conditions of an Osserman manifold, based on the characterisation of light-like hypersurfaces of a pseudo-Riemannian manifold of dimension m+2.
Paulin Shakwanda Mulebu +4 more
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Two theorems on (ϵ)-Sasakian manifolds
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, We prove that every (ϵ)-sasakian manifold is a hypersurface of an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian manifold to be an (ϵ)-sasakian manifold.
Xu Xufeng, Chao Xiaoli
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On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 4, April 2026.We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization
International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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On Polyharmonic Riemannian Manifolds
Zeitschrift für Analysis und ihre Anwendungen, 1987 A natural generalization of the harmonic manifolds is considered: a Riemannian manifold is called k -harmonic or polyharmonic if it admits a non-constant k -harmonic
Schimming, R., Kowolik, J.
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Separability in Riemannian Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.
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Riemannian regular $\sigma$-manifolds [PDF]
Czechoslovak Mathematical Journal, 1994 The aim of this paper is to study the Riemannian manifolds which generalize, on one hand, the spaces with reflections and, on the other hand, the Riemannian regular \(s\)-manifolds. Basic references: \textit{O. Loos} [Math. Z. 99, 141-170 (1967; Zbl 0148.17403)]; \textit{O. Kowalski} [Generalized symmetric spaces (Lect. Notes Math. 805) (Springer 1980;
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Simplexes in Riemannian manifolds [PDF]
Proceedings of the American Mathematical Society, 1993 Existence of a simplex with prescribed edge lengths in Euclidean, spherical, and hyperbolic spaces was studied recently. A simple sufficient condition of this existence is, roughly speaking, that the lengths do not differ too much. We extend these results to Riemannian n n -manifolds M n
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International Journal of Mathematics and Mathematical Sciences, 2002 We prove that a Riemannian foliation with the flat normal connection on a Riemannian manifold is harmonic if and only if the geodesic flow on the normal bundle preserves the Riemannian volume form of the canonical metric defined by the adapted connection.
Hobum Kim
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