共查询到20条相似文献,搜索用时 15 毫秒
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We consider the pseudo-Euclidean space , , with coordinates and metric , , where at least one is positive, and also tensors of the form , such that are differentiable functions of x. For such tensors, we use Lie point symmetries to find metrics that solve the Ricci curvature and the Einstein equations. We provide a large class of group-invariant solutions and examples of complete metrics defined globally in . As consequences, for certain functions , we show complete metrics , conformal to the pseudo-Euclidean metric g, whose scalar curvature is . 相似文献
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《Discrete Mathematics》2022,345(7):112893
In this paper, we study the Reconstruction Conjecture for finite simple graphs. Let Γ and be finite simple graphs with at least three vertices such that there exists a bijective map and for any , there exists an isomorphism . Then we define the associated directed graph with two kinds of arrows from the graphs Γ and , the bijective map f and the isomorphisms . By investigating the associated directed graph , we study when are the two graphs Γ and isomorphic. 相似文献
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《Journal of Functional Analysis》2023,284(10):109888
The construction of the free Banach lattice generated by a real Banach space is extended to the complex setting. It is shown that for every complex Banach space E there is a complex Banach lattice containing a linear isometric copy of E and satisfying the following universal property: for every complex Banach lattice , every operator admits a unique lattice homomorphic extension with . The free complex Banach lattice is shown to have analogous properties to those of its real counterpart. However, examples of non-isomorphic complex Banach spaces E and F can be given so that and are lattice isometric. The spectral theory of induced lattice homomorphisms on is also explored. 相似文献
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Lukas Prader 《Journal of Pure and Applied Algebra》2019,223(6):2371-2381
Let R be an affine domain of characteristic zero with finite quotients. We prove that a polynomial map over R is surjective if and only if it is surjective over , the completion of R with respect to , for every maximal ideal . In fact, the completions may be replaced by arbitrary subrings containing R. We use this result to yield a characterization of surjective polynomial maps, and remark that there does not exist a similar principle for injective polynomial maps. 相似文献
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We establish a multiplication formula for a tridiagonal standard basis element in the idempotent version, i.e., the Lusztig form, of the coideal subalgebras of quantum affine arising from the geometry of affine partial flag varieties of type C. We apply this formula to obtain the stabilization algebras , , and , which are idempotented coideal subalgebras of quantum affine . The symmetry in the formula leads to an isomorphism of the idempotented coideal subalgebras and with compatible monomial, standard and canonical bases. 相似文献
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Let be the finite field of order q. Let G be one of the three groups , or and let W be the standard n-dimensional representation of G. For non-negative integers m and d we let denote the representation of G given by the direct sum of m vectors and d covectors. We exhibit a minimal set of homogeneous invariant polynomials such that for all cases except when and or . 相似文献
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Calvin Deng 《Discrete Mathematics》2019,342(2):540-545
We extend a method of Olsson and Bessenrodt to determine the number of even partitions that are simultaneously -core and -core. When and are distinct primes, this also determines the number of self-associate characters of that are simultaneously defect 0 for and . 相似文献
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A revised Yau's Curvature Difference Flow is considered to deform one convex curve to another one . It is proved that this flow exists globally on time interval and the evolving curve, preserving its convexity and bounded area A, converges to a fixed limiting curve (congruent to ) as time tends to infinity, where is the area bounded by the target curve . 相似文献
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