Results 11 to 20 of about 15,646,215 (77)
Integrable quadratic Hamiltonians on the Euclidean group of motions [PDF]
, 2010 This paper tackles the problem of globally computing sub-Riemannian curves on the Euclidean group of motions SE(3). In particular we derive a global result for special sub-Riemannian curves for which their Hamiltonian satisfies a particular condition ...
Biggs, James, Holderbaum, William
core +4 more sources
Virtual domination of 3‐manifolds II
Journal of the London Mathematical Society, Volume 108, Issue 3, Page 869-915, September 2023., 2023 Abstract For any closed oriented 3‐manifold M$M$ with positive simplicial volume and any closed oriented 3‐manifold N$N$, we prove that there exists a finite cover M′$M^{\prime }$ of M$M$ that admits a degree‐1 map f:M′→N$f:M^{\prime }\rightarrow N$, that is, M$M$ virtually 1‐dominates N$N$.
Hongbin Sun
wiley +1 more source
Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems
Communications on Pure and Applied Mathematics, Volume 76, Issue 8, Page 1554-1607, August 2023., 2023 Abstract For a given finite subset S of a compact Riemannian manifold (M,g) whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition for the existence and uniqueness of a conformal metric on M\S such that each point of S corresponds to an asymptotically flat end and that the Schouten tensor of the ...
Yanyan Li, Luc Nguyen
wiley +1 more source
Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry [PDF]
, 2022 In this paper, we examine the proper semi-slant pseudo-Riemannian submersions in para-Kaehler geometry and prove some fundamental results on such submersions. In particular we obtain curvature relations in para-Kaehler space forms.
Noyan, Esra Başarır +3 more
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On the systole growth in congruence quaternionic hyperbolic manifolds
Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1265-1281, August 2022., 2022 Abstract We provide an explicit lower bound for the systole in principal congruence covers of compact quaternionic hyperbolic manifolds. We also prove the optimality of this lower bound.
Vincent Emery +2 more
wiley +1 more source
Data analysis on nonstandard spaces
WIREs Computational Statistics, Volume 13, Issue 3, May/June 2021., 2021 Surveying many non‐Euclidean statistical problems with ingenious solutions, we uncover new ones, keeping mathematicians, statisticians, computer and data scientists busy for a while. Abstract The task to write on data analysis on nonstandard spaces is quite substantial, with a huge body of literature to cover, from parametric to nonparametrics, from ...
Stephan F. Huckemann, Benjamin Eltzner
wiley +1 more source
Some Eigenvalues Estimate for the ϕ‐Laplace Operator on Slant Submanifolds of Sasakian Space Forms
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 This paper is aimed at establishing new upper bounds for the first positive eigenvalue of the ϕ‐Laplacian operator on Riemannian manifolds in terms of mean curvature and constant sectional curvature. The first eigenvalue for the ϕ‐Laplacian operator on closed oriented m‐dimensional slant submanifolds in a Sasakian space form M~21k+ε is estimated in ...
Yanlin Li +5 more
wiley +1 more source
The geometry of Riemannian curvature radii [PDF]
, 2023 In this paper we explore the geometric structures associated with curvature radii of curves with values on a Riemannian manifold $(M, g)$. We show the existence of sub-Riemannian manifolds naturally associated with the curvature radii and we investigate ...
Eugenio Bellini, Bellini, Eugenio
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On the Geroch-Traschen class of metrics [PDF]
, 2008 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. +3 more
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Riemannian geometry of Hartogs domains [PDF]
, 2008 This paper contains several results on the Riemannian geometry of the so called Hartogs ...
ZUDDAS, F. +7 more
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