Results 61 to 70 of about 1,099 (217)
Isometric Signal Processing under Information Geometric Framework
Entropy, 2019 Information geometry is the study of the intrinsic geometric properties of manifolds consisting of a probability distribution and provides a deeper understanding of statistical inference.
Hao Wu, Yongqiang Cheng, Hongqiang Wang
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Bordism invariants of intersections of submanifolds [PDF]
Transactions of the American Mathematical Society, 1974 This paper characterizes certain geometric intersection problems in terms of bordism obstructions. These obstructions give a setting in which to study such things as parametrized h-cobordisms (pseudoisotopy), and surgery above the middle dimension and on fibrations, where such intersection problems arise. 0. Introduction.
Hatcher, Allen E., Quinn, Frank
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A relative Poincaré–Birkhoff theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
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Wall–chamber decompositions for generalised Monge–Ampère equations
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Generalised Monge–Ampère (gMA) equations form a large class of PDE including Donaldson's J‐equation, inverse Hessian equations, some supercritical deformed Hermitian–Yang–Mills (dHYM) equations and some Z‐critical equations. Solvability of these equations is characterised by numerical criteria involving intersection numbers over all ...
Sohaib Khalid +1 more
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From N $$ \mathcal{N} $$ = 4 Super-Yang-Mills on ℝℙ4 to bosonic Yang-Mills on ℝℙ2
Journal of High Energy Physics, 2021 We study the four-dimensional N $$ \mathcal{N} $$ = 4 super-Yang-Mills (SYM) theory on the unorientable spacetime manifold ℝℙ4. Using supersymmetric localization, we find that for a large class of local and extended SYM observables preserving a common ...
Yifan Wang
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String topology via the coHochschild complex and local intersections
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We construct an algebraic model for the Chas–Sullivan product and the Goresky–Hingston coproduct in string topology. The construction takes as its initial input a simplicial complex equipped with a local pairing on its simplicial chains, for instance, a homology manifold with its local intersection pairing.
Manuel Rivera, Alex Takeda
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On Invariant Submanifolds of a Nearly Trans-Sasakian Manifold
, 2011 In this paper, invariant submanifolds of a nearly trans-Sasakian manifold are studied. Necessary and sufficient conditions are given to make a submanifold of a nearly trans-Sasakian manifold an invariant submanifold.
R. Sari +3 more
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Algebraic Observability of Rational Systems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT For nonlinear systems, the concept of observability is defined by the indistinguishability of states. In the practical implementation, the distinguishing of states is carried out via the observability map consisting of Lie derivatives. This approach is comparatively difficult for general nonlinear systems.
Klaus Röbenack, Daniel Gerbet
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Dynamics and Global Bifurcations in Two Symmetrically Coupled Non-Invertible Maps
Mathematics, 2023 The theory of critical curves determines the main characteristics of a discrete dynamical system in two dimensions. One important property that has garnered recent attention is the problem of chaos synchronization, along with the location of its chaotic ...
Yamina Soula +3 more
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Invariant submanifolds in flow geometry [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1997 AbstractWe begin a study of invariant isometric immersions into Riemannian manifolds (M, g) equipped with a Riemannian flow generated by a unit Killing vector field ξ. We focus our attention on those (M, g) where ξ is complete and such that the reflections with respect to the flow lines are global isometries (that is, (M, g) is a Killing-transversally ...
González-Dávila, J. C. +2 more
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