查看更多>>摘要：Given a star product with separation of variables * on a pseudo-Kahler manifold M and a point x(0) is an element of M, we construct an associative algebra of formal distributions supported at x0. We use this algebra to express the formal oscillatory exponents of a family of formal oscillatory integrals related to the star product *. (C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：We introduce the notion almost *-Ricci-Bourguignon solitons (or almost *-RB solitons) and find its geometric characterizations on Sasakian manifolds. We find several interesting sufficient conditions under which a gradient almost *-RB soliton or an almost *-RB soliton on a Sasakian manifold is isometric to an Euclidean sphere or *-Ricci flat (in particular, trivial or *-Einstein). (C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of the second order and show their application to the equivalence problem of such operators. (C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：In this manuscript, by implementing appropriate transformation mechanism multiple breather solitons such as Ma-breather, generalized breather, Kunzetsov-Ma breather and homoclinic breather are obtained. Various ansatz transformations are employed to formulate rational solutions such as periodic cross kink, periodic cross rational, M-shaped rational, M-shaped with I-kink, M-shaped with II-kink and kink cross rational solutions of Ito integro-differential equation (Ito-IDE). We will present the outcomes in the form of 3-D, 2-D and contour graphs. (C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：We consider Dirac-like operators with piecewise constant mass terms on spin manifolds, and we study the behaviour of their spectra when the mass parameters become large. In several asymptotic regimes, effective operators appear: the extrinsic Dirac operator and a generalized MIT Bag Dirac operator. This extends some results previously known for the Euclidean spaces to the case of general spin manifolds.(C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：In 2021, Marco Besier and the first author introduced the concept of rationalizability of square roots to simplify arguments of Feynman integrals. In this work, we generalize the definition of rationalizability to field extensions. We then show that the rationalizability of a set of quadratic field extensions is equivalent to the rationalizability of the compositum of the field extensions, providing a new strategy to prove rationalizability of sets of square roots of polynomials. (C)& nbsp;2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：The two expressions of N-soliton solutions for the coupled matrix integrable system are derived via the Riemann-Hilbert (RH) approach in the form of a block matrix. Firstly, the spectral structure of the matrix integrable system and a block matrix RH problem on the real axis are investigated. By solving the special matrix RH problem with reflectionless where a jump matrix is taken to be the identity matrix, the corresponding N-soliton solutions are computed in terms of both a summation formula and determinants. As applications, we present exact solutions of the 3-wave resonant interaction (3WRI) equations and the vector nonlinear Schrodinger (NLS) equations, respectively. Particularly, some novel dynamical behaviors for these solutions are further discussed by image simulation.
查看更多>>摘要：In this article, we study some characterization of general relativistic spacetime obeying an eta-Ricci-Bourguignon soliton admitting torse forming potential vector field. Also, we have discussed some enactment of the soliton when the spacetime equipped with semi symmetric energy-momentum tensor in terms of eta-Ricci-Bourguignon soliton, whose potential vector field is torse-forming. Besides, we investigate certain curvature conditions on the spacetime that admits an eta-Ricci-Bourguignon soliton. Next, we have given some physical phenomenon with the connection of dust fluid, dark fluid and radiation era in general relativistic spacetime admitting an eta-Ricci-Bourguignon soliton. Lastly, we describe a harmonic feature of eta-Ricci-Bourguignon soliton on a general relativistic spacetime.(C) 2022 Elsevier B.V. All rights reserved.
查看更多>>摘要：In this article, we study biharmonic maps and biharmonic submanifolds with small curvature integral. Let phi : (M-n, g) -> (N-m, h) be a biharmonic map from a complete noncompact Riemannian manifold (M-n, g) into a Riemannian manifold (N-m, h) satisfying that the L-2-norm of the tension field of the map is finite. If the domain manifold of the map satisfies a Sobolev inequality and the L-n/2-norm of the sectional curvature on the image phi(M) is sufficiently small, then we are able to prove the harmonicity of the biharmonic map. It turns out that the fundamental tone of M is sufficiently large, then such a biharmonic map phi must be harmonic. In case where the map is an isometric immersion, we prove that if M satisfies a Sobolev inequality, then M must be minimal under the assumption that the L-n/2-norm of the Ricci curvature on M is sufficiently small. Moreover it is shown that if the fundamental tone of a biharmonic submanifold is sufficiently big, then it is minimal. (C) 2022 Elsevier B.V. All rights reserved.
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