Sm(c) are closed. But in the case of a real hyperbolic space Hm(c), there exist ... closed circles with the same curvature /c/2^ in CPn(c). In his paper [5], Naitoh.
dimensions of the Hilbert space is finite, and from this point of view we are able to ... Here we examine this proposal in detail and treat it in some different ways.
version of the conjecture is true if p = 2 or n is odd. Theorem 1.1. Let M2n be a cohomology complex projective n-space. (1). Ifp = 2 and1 ED2(M2n), then ...
modules exhibit a form of extremal behavior with respect to liaison [2 7 ]. In ... length graded module M(Y) = @k z 111i t y (k)) over the polynomial ring S = .... The ring So is a regular local ring, hence condition b) is equivalent to the .... From
Riemannian connections V in P (IE) and V in M are related by the following formulas for arbitrary vector fields X and Y on M : (1.1). V^J = V^ + g(AX3Y)N ,. (1.2).
Feb 15, 2018 - DG] 15 Feb 2018. HOPF REAL HYPERSURFACES IN THE INDEFINITE COMPLEX. PROJECTIVE SPACE. MAKOTO KIMURAâ¡ AND MIGUEL ...
We may form the complex. OPN (â1)r+n+m α. ââ OPN. 2r+n+m β. ââ OPN (1)r,. (2) where the maps β and α are given by the matrices. B = [ Xr,r+n. Yr,r+m ], A =.
transformation which describes the coaction of the quantum group SUq(2) ... we define the quantum projective space CPq(N) in terms of both homoge-.
by the homotopy exact sequence of a pair. (Q2, S3), we have â¢Ð(cui°2). = v'r16 and j*ÆÐ= [ÆÐ3, ÆÑ]. Here. [ÆÐ3, ÆÑ] is the relative. Whitehead product. [23]. LEMMA.
SU(2) spin models which already exist in the literature [2,12â14]. ... by performing the symplectic reduction of CP(N) from S2N+1, CP(N) â ..... ford, 1989).
Abstract. In this paper embeddings of projective Klingenberg planes in a 5-dimensional projective space are classified. It is proved that if a PK-plane is fully ...
called the Wirtinger angle of X. An immersion f X M 3 ~MmЕ4 Ж is called slant if the. Wirtinger .... with Riemannian (or a pseudo-Riemannian) metric g, the almost contact Е1Y 1Ж-tensor ..... ztt И └zX. Е5X24Ж. Solving (5.24) yields. zЕuY vY tЖ И eitA
May 27, 2008 - maximal number of intersection points of two Veronese surfaces is .... j (Hj). Proof. Consider the coordinate ring of the Segre variety S. R = C[x ..... Assume that ÏT(C) lies on a hyperplane H. Since X is a set of generic points,.
scroll). Thus one can in some sense think of the set of all K3 carpets as something discrete. On the ...... hence the key point is to compute the dimension of H. 1.
i) Investigate the necessary and sufficient conditions for / to be bi-order. ii) Classify the .... Then, it follows from the definition of bi-order immersion that if Mis ...
Sep 26, 2006 - Theorem 3.14 (Hilbert-Burch). If X â PN is a codimension 2 arith- metically Cohen-Macaulay scheme, then the minimal free resolution of.
Mar 14, 2007 - estimates are obtained for the values of the height function in the case d = 2, ... number of edges the must be deleted from a finite directed graph so that the ... For every real number t, let [t] denote the greatest integer not ...
tial contributions in this topic are due to Rapcsak ([Ra]), Misra ([Mi]) and, .... c. Li jk. = 1. 2 g ¯mi{ c δj gk ¯m+ c δk gj ¯m} ; c. Ci jk= g ¯mi Ë. âkgj ¯m. (1.6) c. L. ¯i.
Mar 3, 2014 - MIGUEL DOMÍNGUEZ-VÁZQUEZ. Abstract. Irreducible isoparametric foliations of arbitrary codimension q on complex projective spaces CPn ...
Gordan [Go], known as the transvectant As a byproduct we recover then ... Riemann surface X With the aid of Φ we can prove a certain integral formula involving ...
follows that every topological vector bundle on the projective space IP 3 has an algebraic structure. ..... c3:~(Cl +SqZ)c2 in H 6 ( y , 7Z2). Proof The necessity of ...
May 7, 2017 - A novel fixed-time controller is proposed to perform fixed-time complex modified function projective lag synchronization of.
Abstract. In the previous papers [Ai7], we have studied complex Finsler geometry from the view point of Kähler fibration, and have obtained the characterizations ...
group, (X, A) a G space, and if Hâ(X, A) is zero in odd degrees then the Leray-. Serre spectral sequence associated to (X, A) â (XG,AG) â BG degenerates for.
Aug 23, 1991 - hypersurface of $P_{n}(C)$ . $M$ has an almost contact metric structure $(\phi, \xi, \eta, g)$ ..... $g(\phi e_{i}, e_{j})\xi+\eta(e_{f})\phi e_{\ell})$.
YOKOHAMA MATHEMATICAL JOURNAL VOL. 40, 1992
CHARACTERIZATIONS OF GEODESIC HYPERSPHERES IN A COMPLEX PROJECTIVE SPACE IN TERMS OF RICCI TENSORS By
MAKOTO KIMURA and SADAHIRO MAEDA* (Received August
23, 1991)
\S 0. Introduction
Let $P.(C)$ be an n-dimensional complex projective space with Fubini-Study metric of constant holomorphic sectional curvature 4, and let $M$ be a real hypersurface of $P_{n}(C)$ . $M$ has an almost contact metric structure induced from the complex structure of $P_{n}(C)$ (see, \S 1). Many differential geometers have studied $M$ (cf. [3], [9], [12] and [13]) by using the structure $(\phi, \xi, \eta, g)$
$J$
$(\phi, \xi, \eta, g)$
.
Typical examples of real hypersurfaces in $P_{n}(C)$ are homogeneous ones. R. Takagi ([11]) showed that all homogeneous real hypersurfaces in $P_{n}(C)$ are realized as the tubes of constant radius over compact Hermitian symmetric spaces of rank 1 or 2. Namely, he showed the following:
Theorem A ([11]). Let $M$ be a homogeneous real hypersurface of $P_{n}(C)$ . Then $M$ is a tube of radius over one of the following Kaehler submanifolds: (A) hyPerplane $P_{n-1}(C)$ , where $0
