Showing papers in "Revista Matematica Complutense in 1994"
20 citations
18 citations
TL;DR: In this paper, the authors study real submanifolds of a complex hyperbolic space and prove a cbdimension reductian thearem, which is invariant under parallel tratalution with respeci to ihe normal connection.
Abstract: Wc study real submanifalds af a complex hyperbolic space and prove a cbdimension reductian thearem. O. INTRODUCTION. Recently Oknmura ([3]) defined itolaniorpitic first normal space for real submanifolds of a Kaeitler manifaid and praved a cadimettsiasi reductiasi titeorem far real submasiifalds of a complex projective space. Namely, ite sitawed following: Theorem. La M be a conneeted u-dimensional real submanifold of a real (u + p)-dirnensionul complez projective space ~p(n+v)/2 aud Jet No(x) be the orthogonul complement of first normal space itt 2’4(M). We prd Ho(x) = JNo(x)flNo(x) aud Jet H(x) be a J-invuriunt subspuce of Ho(x) where J is complez structure of CP(n+v)/2. If ihe orthogonul eornplement H 2(x) of H(z) itt 2’J(M) is invariant under purallel tratalution with respeci to ihe normal connection and {f ej is tite constunt 1991 Mathem.tics Subject Clasaification: 53H25, 53H30. Editorial Complutense. Madrid, 1994. http://dx.doi.org/10.5209/rev_REMA.1994.v7.n1.17784 120 Sbin-ichi K,w,mato di,nestsion of H2(x), then tites-e exists u real (u + q)-dimensional tota?ly geodesie complez projective subspace c£(n+Q)/2 in CP(tt+P)/ 2 such that M c ~p(n+q)/2 Tite purpose of titis paper is to prove titat tite similar result to tite aboye theorem Ls still itold in asubrnanifold of complex ityperbolic space. Tite autiter wonid like to express bis titanlcs to Prafessors M. Okuniura and M. Kimura for titeir valuable suggestiosis. 1. CODIMENSION REDUCTION POR SUBMANIFOLDS OF ANTI-DE SITTER SPACE. Let R~+l be a real vector space of (n+ 1) dlmension with a psendoRiemannian metric 4 of signature (u — 1, 2) given by n 4(x,y) = —xoyo—xiyi+>jx~y 1 (1.1) where x ~ (x ,xi,...,x,3, y ~ (Yo,Y1,...,Yn) E Rn+i. Let H’ = {x E R?+l 1 g(x,x) = —1}. Titen tite itypersurface Hf is a Lorentzian manifold witit tite isiduced Loresitzian metric 4 of constasit sectional curvature —1. We cail it n.dirnensional anti-De Sitter space. Let ffr+P be asi (u + p)-dimettsiosial anti-De Sitter space and let i: M —~ Hr+P be asi isametric imifiersion of a connected ii-dimensional Loretttzian manifaid witit tite Larentzian rnetric g into Hr+P. Titesi tite tangent bundle T(M) is identified witb a subitundie af T(Jfl+P) and tite normal busidle 2’ 1(M) is a subbusidle of 2’(JIr~~) cosisisting of ali elernent itt T(Rt+~) whicb are ortitagona] to 2’(M) witb respect to 4. We denote by ‘~ and sy tite Levi-Civita cannection of M and R?+P respectLvely and D tite induced normal cosinection fram y to 2”(M). Titen titey are related by tite followisig Ganss and Weingartesi formulae: VixiY = iSZxY+h(X,Y) (1.2)
17 citations
TL;DR: A more precise formula for the Kottman parameter connected with the packing constant A(X) in such a way that X = D(X)/(2+D(X)) for a Banach space X, in the case when X is a Musielak-Orlicz sequence spaces fr, is given in this article.
Abstract: A more precise formula for the Kottman parameter D(X) connected with the packing constant A(X) in such a way that A(X) = D(X)/(2+ D(X)) for a Banach space X, in the case when X isa Musielak- Orlicz sequence spaces fr, is given. As a corollary packing constant of the Nakano space i(~~), where 1=pi <+oo for any 1 = 1,2,~. ,iscomputed. This generalizea the resulta of (2)for iP apaces. It ja also proved that A(L'~) = A(hfl.
15 citations
13 citations
TL;DR: In this article, the representation of locally convex algebras is studied in terms of sorne questions on the spectrurn of the algebra of a local convex algebra.
Abstract: We deal with the representation of locally convex algebras. On one hand as "suhalgebras" of sorne weighted space CV(X) anO on the other hand, in the case ob uniborrnly A-convex algebras, as inductive lirnits of Banach algebras. We amo study sorne questions on the spectrurn of a locally convex algebra.
7 citations
TL;DR: In this article, a piecewise linear ca-tegary graph is defined in 3-space R3 space and a fiat deformation is defined as a fiat vertex grapit bar ea-cit t E [0, 1].
Abstract: Titrougbaut titis paper we work iii tite piecewise linear ca-tegary. Far a grapit O , we denote tite set ob al vertices abC by V(G) anO tite set oball edges abC by E(O). A grapit O in tite 3-space R3 is calleO a-fiat vertex grapit ib bar eacit vertex y ob 0, titere exists aneiglibonritoad fi,, abv a-id asmallflat plane 1% such tita-t GOfi~ cP,,. A fiat deformation ob Gis a-ii ambient isotopy h~ : —. I?~, 1 E (0,1], it 0 = idRa sucit tbat h4G) is a fiat vertex grapit bar ea-cit t E [0,1].
6 citations
TL;DR: In this paper, the authors applied the charactenizatian of metnic projections to the Bachner-Orflcz spaces and found that the convexity of these spaces is characterized by the mean-valued best approximations.
Abstract: In the first sectian of thispaper there are given entena far striet convexity ami smaothness ab the Bachner-On)icz space with tite Onliez norm as weII as the Luxemburg narnt Ira the secorad ane that gearnetnical properties are applied ta the charactenizatian of metnic projections arad zera mean valued best approximarats ta Bachner-Orflcz spaces.
3 citations
TL;DR: In this article, the authors examine a kind of generalized iraductive-liirait topology (ira the sense of Turpin) that generates a natural convergence in LLP.
Abstract: Let U'> be an Orliez sipace defined by an arbitrary Orlicz function sp over a positivo measure space (Q,E,~) aud pravided with its usual F-narni ii ji~. En LLP a natural convergence can be defiraed as follows: a sequence (x, 5) ira L~ is said to be -y~-coravergent to z E LLP wbenever —* x (g — Li) and sup hlx,ILILP < oc. In this paper we examine sorne kind of generalized iraductive-liirait topology (ira the sense of Turpin) ira U" that generates aur y~-convergence in LLP. The maira aim of tbe paper is to obtain a descriptian of tite topology Ji in terms of sorne farnily of F-norms defined by other Orlicz funetioras. As an applicatian we obtain a topological characterization of tite -y~ -convergence ira LLP.
2 citations
2 citations
TL;DR: Baunded travelling waves, arising from a cambustion model faz gas-salid reactions in a paraus rnediurn, are studied in this paper, where the authors consider the uniqueness, uniqueness and several qualitative properties.
Abstract: Baunded travelling waves, arising itt a cambustion model faz gas-salid reactions in a paraus rnediurn, are studied. We consider the exLst- ence, uniqueness and several qualitative properties. lxi particular we investi- gate waves with flniteness and we derive estimates lxi the limit of vanishing diffusion.
TL;DR: In this article, a sufficient and necessary condition for the Iocally uniformly weak Star rotundity of Orliez spaces with Orlicz norrns was given, and a sufficient condition was also given for the Star Rotundity in the Papa.
Abstract: In the papa, a sufficient and necessary condition is given for the Iocally uniformly weak Star rotundity of Orliez spaces with Orlicz norrns.
TL;DR: In this paper, the authors obtained non-canstant periodic solutians for a class of autonamaus dynamic systems with convex patential Ls subquadratic at infinity.
Abstract: We abtain non-canstant periodic solutians for a class of secand-arder autonamaus dynamic systems whase patential Ls subquadratic at infinity. 1W give a theorem an conjugate points fas- convex patentials.