Results 71 to 80 of about 64,208 (273)
The weak (1,1) boundedness of Fourier integral operators with complex phases
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
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A Codimension Two CR Singular Submanifold That Is Formally Equivalent to a Symmetric Quadric [PDF]
, 2008 Let () be a real analytic submanifold defined by an equation of the form: w=| z| 2 + O(| z| 3 ), where we use for the coordinates of . We first derive a pseudonormal form for M near 0.
Xiaojun Huang, W. Yin
semanticscholar +1 more source
Statistical cosymplectic manifolds and their submanifolds
پژوهشهای ریاضی, 2022 Introduction Let p(x,ζ) be the set of parametric probability distribution with parameter ζ=ζ1,…,ζn∊Rn. This set is called a statistical model or manifold. The distance between two points is measured by the Fisher metric. In general, statistical manifolds
Mohammad Bagher Kazemi, Shiva Salahvarzi
doaj
Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
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On contact CR-submanifolds of sasakian manifolds
International Journal of Mathematics and Mathematical Sciences, 1983 Recently, K.Yano and M.Kon [5] have introduced the notion of a contact CR-submanifold of a Sasakian manifold which is closely similar to the one of a CR-submanifold of a Kaehlerian manifold defined by A. Bejancu [1].
Koji Matsumoto
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Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
Advances in Mathematical Physics, 2021 In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi +3 more
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WDVV‐based recursion for open Gromov–Witten invariants
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
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On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector
MathematicsIn this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c).
Juanru Gu, Yao Lu
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Splitting along a submanifold pair
, 2006 The paper introduces a group $LSP$ of obstructions for splitting a homotopy equivalence along a pair of submanifolds. We develop exact sequences relating the $LSP$-groups with various surgery obstruction groups for manifold triple and structure sets ...
Bak +14 more
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Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
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