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1.
The geometry of slant submanifolds of a nearly trans-Sasakian manifold is studied when the tensor field Q is parallel. It is proved that Q is not parallel on the submanifold unless it is anti-invariant and thus the result of [CABRERIZO, J. L.—CARRIAZO, A.—FERNANDEZ,
L. M.—FERNANDEZ, M.: Slant submanifolds in Sasakian manifolds, Glasg. Math. J. 42 (2000), 125–138] and [GUPTA, R. S.—KHURSHEED HAIDER, S. M.—SHARFUDIN, A.: Slant submanifolds of a trans-Sasakian manifold, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 47 (2004), 45–57] are generalized. 相似文献
2.
Christiansen 《Constructive Approximation》2008,19(1):1-22
Abstract. We consider the indeterminate Stieltjes moment problem associated with the q -Laguerre polynomials. A transformation of the set of solutions, which has all the classical solutions as fixed points, is
established and we present a method to construct, for instance, continuous singular solutions. The connection with the moment
problem associated with the Stieltjes—Wigert polynomials is studied; we show how to come from q -Laguerre solutions to Stieltjes—Wigert solutions by letting the parameter α —> ∞ , and we explain how to lift a Stieltjes—Wigert solution to a q -Laguerre solution at the level of Pick functions. Based on two generating functions, expressions for the four entire functions
from the Nevanlinna parametrization are obtained. 相似文献
3.
A-monotone nonlinear relaxed cocoercive variational inclusions 总被引:1,自引:0,他引:1
Ram U. Verma 《Central European Journal of Mathematics》2007,5(2):386-396
Based on the notion of A — monotonicity, a new class of nonlinear variational inclusion problems is presented. Since A — monotonicity generalizes H — monotonicity (and in turn, generalizes maximal monotonicity), results thus obtained, are general in nature.
相似文献
4.
Jin-Lin Liu 《Mathematica Slovaca》2012,62(1):25-28
For analytic functions f(z) in the open unit disk U and convex functions g(z) in U, Nunokawa et al. [NUNOKAWA, M.—OWA, S.—NISHIWAKI, J.—KUROKI, K.—HAYAMI, T: Differential subordination and argumental property, Comput. Math. Appl. 56 (2008), 2733–2736] have proved one theorem which is a generalization of the result [POMMERENKE, CH.: On close-toconvex analytic functions, Trans. Amer. Math. Soc. 114 (1965), 176–186]. The object of the present paper is to generalize the theorem due to Nunokawa et al.. 相似文献
5.
Torsten Ekedahl 《Arkiv f?r Matematik》1984,22(1):185-239
Summary Due to the length this work is published in two parts. The second part will appear in Vol 23: 1 of this journal.
Part 1 has the subtitle “Duality for the de Rham—Witt complex” and Part 2 is entitled “A Künneth formula for the Hodge—Witt complex”. 相似文献
6.
Formulas for the number of primitive representations of any integer n as a sum of k squares are given, for 2 ≤ k ≤ 8, and for certain values of n, for 9 ≤ k ≤ 12. The formulas have a similar structure and are striking for their simplicity.
Dedicated to Richard Askey on the occasion of his 70th birthday.
2000 Mathematics Subject Classification Primary—11E25; Secondary—05A15, 33E05. 相似文献
7.
Jonatan Vasilis 《Geometriae Dedicata》2011,152(1):51-62
Suppose that n cyclically tangent discs with pairwise disjoint interiors are externally tangent to and surround the unit disc. The sharp
ring lemma in two dimensions states that no disc has a radius below c
n
(R
2) = (F
2n−3−1)−1—where F
k
denotes the kth Fibonacci number—and that the lower bound is attained in essentially unique Apollonian configurations. In this article,
generalizations of the ring lemma to three dimensions are discussed, a version of the ring lemma in three dimensions is proved,
and a natural generalization of the extremal two-dimensional configuration—thought to be extremal in three dimensions—is given.
The sharp three-dimensional ring lemma constant of order n is shown to be bounded from below by the two-dimensional constant of order n − 1. 相似文献
8.
We show that separable, locally compact spaces with property (a) necessarily have countable extent — i.e., have no uncountable
closed, discrete subspaces — if the effective weak diamond principle ⋄(ω,ω,<) holds. If the stronger, non-effective, diamond principle Φ(ω,ω,<) holds then separable, countably paracompact spaces also have countable extent. We also give a short proof that the latter
principle implies there are no small dominating families in
ω
1
ω. 相似文献
9.
Giovanni Sansone 《Annali di Matematica Pura ed Applicata》1926,3(1):73-107
Sommario Introduzione — § 1 – 1. L'indice μ(n) dei sottogruppi Гμ(n) del gruppo Γ di sostituzioni lineari unimodulari con coefficienti del campo diJacobi-Eisenstein
— 2. Il poliedro fondamentale del sottogruppo Гμ(1−ε) — § 2 – 3. I campi fondamentali dei gruppi Гμ(n) — 4. Impossibilità di limitare con un numero finito di piani e sfere di riflessione i poliedri fondamentali dei gruppi Гμ(n), conn intero razionale pari, diverso da 2 — § 3 – 5. Relazioni fondamentali fra le sostituzioni generatrici del gruppo
di sostituzioni lineari con coefficienti del corpo Kε con determinante ±1 — § 4 – 6. Sulla indipendenza delle sostituzioniS,T,U, generatrici del gruppo finito G2μ(n) e sulle loro relazioni caratteristiche nel gruppo G2μ(n) — § 5 – 7. Dimostrazione del teorema fondamentale sui gruppi G2μ(n). Lemmi preliminari — 8, Dimostrazione del teorema fondamentale nel caso di moduli primi con 2(1−ε) — § 6 – 9. Il teorema
fondamentale per i modulim(1−ε), 3m, 2m, 2m(1−ε), 6m conm primo con 6 – 10. Immagine geometrica dei gruppi G2μ(1−ε) — § 7 – 11. Il gruppo delle sostituzioni unimodulari
, [c/1+4ma]=+1, e il caso eccezionale dei moduli 4m – 12. Il gruppo delle sostituzioni unimodulari
[c/1+3m(1−ε)a]3=+1 e il caso eccezionale dei moduli 3(1−ε)m. 相似文献
10.
D. Blanusa 《Annali di Matematica Pura ed Applicata》1962,57(1):321-337
Summary C∞ — isometric imbeddings of the hyperbolic plane and of the two types of orientable cylinders with hyperbolic metric in spherical8-space are constructed, furthermore C∞ — isometric imbeddings of the non-orientable cylinder with hyperbolic metric in Euclidean8-space and in spherical10-space.
To Enrico Bompiani on his scientific Jubilee. 相似文献
11.
A. Georgakopoulos 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》2006,76(1):235-245
We construct infinite planar graphs of arbitrarily large connectivity and girth, and study their separation properties. These
graphs have no thick end but continuum many thin ones. Every finite cycle separates them, but they corroborate Diestel’s conjecture
that everyk-connected locally finite graph contains a possibly infinite cycle — see [3] — whose deletion leaves it (k — 3)-connected. 相似文献
12.
Micha Sharir 《Combinatorica》1987,7(1):131-143
Davenport—Schinzel sequences are sequences that do not contain forbidden subsequences of alternating symbols. They arise in
the computation of the envelope of a set of functions. We obtain almost linear upper bounds on the length λs(n) of Davenport—Schinzel sequences composed ofn symbols in which no alternating subsequence is of length greater thans+1. These bounds are of the formO(nα(n)O(α(n)5-3)), and they generalize and extend the tight bound Θ(nα(n)) obtained by Hart and Sharir for the special cases=3 (α(n) is the functional inverse of Ackermann’s function), and also improve the upper boundO(n log*n) due to Szemerédi.
Work on this paper has been supported in part by a grant from the U.S. — Israeli Binational Science Foundation. 相似文献
13.
Given continuous functionsu and ∈ on a closed subsetF of a Riemann surface, we seek a harmonic functionv on the surface (possibly with logarithmic singularities) such that |u−v|<∈ onF.
Research supported in part by NSERC—Canada and FCAR—Quebec. 相似文献
14.
Vittorio Dalla Volta 《Annali di Matematica Pura ed Applicata》1954,37(1):291-332
Sunto Si studia la nota metrica hermitiana, generalizzante la metrica iperbolica, che si incontra nella teoria delle funzioni di
p≥1 variabili complesse. — Nella p. I si determina, per via elementare, il gruppo continuo G di movimenti col massimo numero
di parametri ammesso dalla metrica considerata. — Nella p. II si studiano invece le faccette piane a curvatura nulla: tale
ricerca che è stata iniziata daF. Conforto — e condotta a termine daB. Segre per p=2 — viene qui completata, per ogni p, caratterizzando le faccette in questione rispetto al gruppo G, e dando delle
medesime una costruzione geometrica. 相似文献
15.
V S Sunder 《Proceedings Mathematical Sciences》1990,100(2):157-177
A class of objects—that are best described as being actions ofgroup-like objects of von Neumann algebras—is axiomatised and it is shown that there exists a bijective correspondence between isomorphism classes of suchcovariant systems and isomorphism classes of pairs of II1 factors (M, N) satisfyingN⊂M, [M:N]<∞ andM∮N′=C. 相似文献
16.
Let Гr,n—r denote the infimum of all number Г > 0 such that for any real indefinite quadratic form inn variables of type (r, n—r), determinantD ≠ 0 and real numbers c1; c2,…, cn, there exist integersx
1,x2,…,xn satisfying 0 < Q(x1+c1,x2 + c2,…,xn + cn) ≤(Г|Z > |)1/n. All the values of Гr,n—r are known except for г1,4. Earlier it was shown that 8 ≤Г1,4 ≤16. Here we improve the upper bound to get Г1,4 < 12. 相似文献
17.
In this paper, we consider the almost everywhere convergenc of Bochner—Riesz means below the critical index in Bessel potential
spacesL
a
p
(1≤p≤2 anda>0) and find out the relation between the index of Bochner—Riesz means and the degree of smoothness of functions. 相似文献
18.
Given an i.i.d. sample from a probability measure P on ℝ, an estimator is constructed that efficiently estimates P in the bounded-Lipschitz metric for weak convergence of probability measures, and, at the same time, estimates the density
of P — if it exists (but without assuming it does) — at the best possible rate of convergence in total variation loss (that is,
in L
1-loss for densities).
相似文献
19.
J. Feldman 《Israel Journal of Mathematics》1993,81(3):281-287
Letμ be a probability measure on [0, 1), invariant underS:x ↦px mod 1, and for which almost every ergodic component has positive entropy. Ifq is a real number greater than 1 for which logq/ logp is irrational, andT
n sendsx toq
nx mod 1, then for any ε>0 the measureμT
n
−1
will — for a set ofn of positive lower density — be within ε of Lebesgue measure. 相似文献
20.
Takao Kato Changho Keem Akira Ohbuchi 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》1999,69(1):319-333
We give necessary and sufficient conditions for non-special line bundles of degree2g — 2 and 2g — 3 being not normally generated. We also provide criteria for special line bundles of degreed > 2g — 6 being normally generated.
This work was done under JSPS-KOSEF joint research program 1997. The first named author was partially supported by Grant-in-Aid
for Scientific Research, the Ministry of Education, #10440051. The second named author was partially supported by BSRI(1998-015-D00023)
and SNU(99-5-l-031). During the period when this paper was prepared for publication, the second named author was enjoying
the hospitality of ICTP. The third named author was partially supported by Grant-in-Aid for Scientific Research, the Ministry
of Education, #09640043. 相似文献