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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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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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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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Lower bound for KVol on the minimal stratum of translation surfaces
In this paper we are interested in algebraic intersection of closed curves of a given length on translation surfaces. We study the quantity KVol,...
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The d’Alembert solution in hyperboloidal foliations
We explicitly construct the analogue of the d’Alembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal d’Alembert...
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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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Ϝ-Contraction of Hardy–Rogers type in supermetric spaces with applications
This article focuses on studying some fixed-point results via Ϝ -contraction of Hardy–Rogers type in the context of supermetric space and ordered...
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4D Einstein–Gauss–Bonnet cosmology with Chameleon mechanism
We explore the impact of the chameleon mechanism in scalar field Einstein–Gauss–Bonnet gravity on the dynamics of cosmological parameters. Conducting...
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A dynamical system analysis of bouncing cosmology with spatial curvature
The present work deals with a FLRW cosmological model with spatial curvature and minimally coupled scalar field as the matter content. The curvature...
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Effeciency of higher dimensional black holes as particle accelerators
The center-of-mass energy of two colliding particles could be arbitrarily high in the vicinity of event horizons of the extremal Myers-Perry black...
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Cosmological constraints in symmetric teleparallel gravity with bulk viscosity
In this study, we explore the accelerated expansion of the universe within the framework of modified f ( Q ) gravity. The investigation focus on the...
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Nonassociative Einstein–Dirac–Maxwell systems and R-flux modified Reissner–Nordström black holes and wormholes
We elaborate on a model of nonassociative and noncommutative Einstein–Dirac–Maxwell, EDM, theory determined by star product R-flux deformations in...
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Universal covers of non-negatively curved manifolds and formality
We show that if the universal cover of a closed smooth manifold admitting a metric with non-negative Ricci curvature is formal, then the manifold...
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A study of interacting NTADE and SMHDE models via cosmological parameters within rastall gravity
This article explores the characteristics of interacting new Tsallis agegraphic dark energy (NTADE) and Sharma–Mittal holographic dark energy (SMHDE)...
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