Results 1 to 10 of about 130 (72)
Algebroids, AKSZ Constructions and Doubled Geometry [PDF]
Complex Manifolds, 2021 We give a self-contained survey of some approaches aimed at a global description of the geometry underlying double field theory. After reviewing the geometry of Courant algebroids and their incarnations in the AKSZ construction, we develop the theory of ...
V. Marotta, R. Szabo
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NONLINEAR GLOBAL FRÉCHET REGRESSION FOR RANDOM OBJECTS VIA WEAK CONDITIONAL EXPECTATION. [PDF]
Annals of Statistics, 2023 Random objects are complex non-Euclidean data taking values in general metric spaces, possibly devoid of any underlying vector space structure. Such data are becoming increasingly abundant with the rapid advancement in technology.
Satarupa Bhattacharjee +2 more
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The Global Study of Riemannian-Finsler Geometry [PDF]
Geometry in History, 2018 The aim of this article is to present a comparative review of Riemannian and Finsler geometry. The structures of cut and conjugate loci on Riemannian manifolds have been discussed by many geometers including H. Busemann, M. Berger and W. Klingenberg. The
K. Shiohama, B. Tiwari
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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
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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
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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
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Aspects of Nonrelativistic Strings [PDF]
Frontiers of Physics, 2022 We review recent developments on nonrelativistic string theory. In flat spacetime, the theory is defined by a two-dimensional relativistic quantum field theory with nonrelativistic global symmetries acting on the worldsheet fields.
Gerben Oling, Ziqi Yan
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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
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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
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Sobolev spaces and $$\nabla $$-differential operators on manifolds I: basic properties and weighted spaces [PDF]
Annals of Global Analysis and Geometry, 2020 We study {\em $\nabla$-Sobolev spaces} and {\em $\nabla$-differential operators} with coefficients in general Hermitian vector bundles on Riemannian manifolds, stressing a coordinate free approach that uses connections (which are typically denoted ...
M. Kohr, V. Nistor
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