First Natural Connection on Riemannian Π-Manifolds
Mathematics, 2023 A natural connection with torsion is defined, and it is called the first natural connection on the Riemannian Π-manifold. Relations between the introduced connection and the Levi–Civita connection are obtained.
Hristo Manev
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Para-Ricci-like Solitons with Arbitrary Potential on Para-Sasaki-like Riemannian Π-Manifolds
Mathematics, 2022 Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π-manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tensor is a constant multiple of the vertical component of both metrics.
Hristo Manev, Mancho Manev
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Poisson Doubly Warped Product Manifolds
Mathematics, 2023 This article generalizes some geometric structures on warped product manifolds equipped with a Poisson structure to doubly warped products of pseudo-Riemannian manifolds equipped with a doubly warped Poisson structure.
Ibrahim Al-Dayel +2 more
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Finsler geometry in anisotropic superconductivity: a Ginzburg-Landau approach [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe present a rigorous generalization of the classical Ginzburg--Landau model to smooth, compact Finsler manifolds without boundary. This framework provides a natural analytic setting for describing anisotropic superconductivity within Finsler geometry ...
Y. Alipour Fakhri
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Riemannian Trust Region Method for Minimization of the Fourth Central Moment for Localized Molecular Orbitals. [PDF]
J Phys Chem A, 2023 Sepehri A, Li RR, Hoffmann MR.
europepmc +1 more source
Fair Canonical Correlation Analysis. [PDF]
Adv Neural Inf Process Syst, 2023 Zhou Z +7 more
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Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]
Entropy (Basel), 2023 Feng Q, Li W.
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Nested Grassmannians for Dimensionality Reduction with Applications. [PDF]
J Mach Learn Biomed Imaging, 2022 Yang CH, Vemuri BC.
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Nested Hyperbolic Spaces for Dimensionality Reduction and Hyperbolic NN Design. [PDF]
Proc IEEE Comput Soc Conf Comput Vis Pattern Recognit, 2022 Fan X, Yang CH, Vemuri BC.
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Universality in long-distance geometry and quantum complexity. [PDF]
Nature, 2023 Brown AR +3 more
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