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Nonpositively Curved Surfaces are Loewner
We show that every closed nonpositively curved surface satisfies Loewner’s systolic inequality. The proof relies on a combination of the Gauss–Bonnet...
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Boundary Rigidity, and Non-Rigidity, of Projective Structures
We investigate the property of boundary rigidity for the projective structures associated to torsion-free affine connections on connected smooth...
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Octonionic Calabi–Yau Theorem
On a certain class of 16-dimensional manifolds a new class of Riemannian metrics, called octonionic Kähler, is introduced and studied. It is an...
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Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
In this paper, we establish the boundedness of multilinear commutators of Hardy–Littlewood maximal operators on Herz-type spaces where all the...
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Restriction Theorems and Strichartz Inequalities for the Laguerre Operator Involving Orthonormal Functions
In this paper, we prove restriction theorems for the Fourier–Laguerre transform and establish Strichartz estimates for the Schrödinger propagator
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Integrals involving log and polylogarithms associated with Euler sums
Integrals that contain polylogarithmic functions in the integrand are occasionally represented in closed form by utilizing specialized Euler sums. We...
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Evaluation of Hecke–Rogers series and expansions of the rank function
A formula is established for the evaluation of double series of Hecke–Rogers type in terms of theta functions and Appell–Lerch functions. This...
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Optimality conditions and duality for multiobjective semi-infinite optimization problems with switching constraints on Hadamard manifolds
This paper deals with a certain class of multiobjective semi-infinite programming problems with switching constraints (in short, MSIPSC) in the...
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Common fixed points of a pair of \((\psi ,\phi )\)-weakly contractive maps via ceiling distance with applications
In this paper, we discuss a critical analysis of a paper by Kumar (J Comput Appl Math 404:1–16 2022), found some corrections through the use of...
