manuscripta mathematica

Items from 1 to 20 out of 1,940 results

article

Erratum to extrinsic symmetric spaces and orbits of s-representations

J. -H. Eschenburg, E. Heintze

manuscripta mathematica > 1997 > 92 > 1 > 408-408

The online version of the original article can be found at http://dx.doi.org/10.1007/BF02567838

article

Two extremal elliptic fibrations on Jacobian Kummer surfaces

Jonghae Keum

manuscripta mathematica > 1997 > 94 > 1 > 543-543

The online version of the original article can be found at http://dx.doi.org/10.1007/BF02567961

article

A unified approach to concrete plancherel theory of homoogeneous spaces

Ronald L. Lipsman

manuscripta mathematica > 1997 > 94 > 1 > 133-149

Summary A new paradigm for concrete Plancherel analysis on homogeneous spaces is established wherein the distinction between finite and infinite multiplicity is de-emphasized. A unified treatment — incorporating the Penney-Fujiwara formulation for finite multiplicity and the Bonnet formulation for infinite multiplicity — is presented. The heretofore unrecognized similarities in the two theories are...

article

A unified approach to concrete plancherel theory of homogeneous spaces

Ronald L. Lipsman

manuscripta mathematica > 1998 > 95 > 1 > 545-546

The online version of the original article can be found at http://dx.doi.org/10.1007/BF02677843

article

Complex points of minimal surfaces in almost Khler manifolds

Renyi Ma

manuscripta mathematica > 1998 > 95 > 2 > 159-168

Abstract:If (N, , J,g) is an almost Khler manifold and M is a branched minimal immersion which is not a $J$-holomorphic curve, we show that the complex tangents are isolated and that each has a negative index, which extends the results in the Khler case by S.S. Chern and J. Wolfson [2] and S. Webster [7] to almost Khler manifolds. As an application, we get lower estimates for the genus of embedded...

article

Pro-p Galois groups of rank 4

Jochen Koenigsmann

manuscripta mathematica > 1998 > 95 > 2 > 251-271

Abstract:Let p be a prime 2, let F be a field of characteristic p containing a primitive p-th root of unity and let GF(p) be the Galois group of the maximal Galois-p-extension of F. If rkGF(p) 4 then GF(p) is a free pro-p product of metabelian groups or GF(p) is a Demukin group of rank 4.

article

Multiplicities of mod p Galois representations

Chandrashekhar Khare

manuscripta mathematica > 1998 > 95 > 2 > 181-188

Abstract:We study the multiplicity with which 2-dimensional mod p Galois representations occur in Jacobians of modular curves.

article

Multiplicities of mod p Galois representations

Chandrashekhar Khare

manuscripta mathematica > 1998 > 95 > 2 > 181-188

We study the multiplicity with which 2-dimensional mod p Galois representations occur in Jacobians of modular curves.

article

A remark on the geometry of elliptic scrolls¶and bielliptic surfaces

C. Ciliberto, K. Hulek

manuscripta mathematica > 1998 > 95 > 2 > 213-224

Dedicated to the memory of F. Serrano

article

Irreducibility of alternating and¶symmetric squares

Kay Magaard, Gunter Malle

manuscripta mathematica > 1998 > 95 > 2 > 169-180

We investigate the question when the alternating or symmetric square of an absolutely irreducible projective representation of a non-abelian simple group G is again irreducible. The knowledge of such representations is of importance in the description of the maximal subgroups of simple classical groups of Lie type. We obtain complete results for G an alternating group and for G a projective special...

article

A note on smooth toral reductions of spheres

Charles P. Boyer, Krzysztof Galicki, Benjamin M. Mann

manuscripta mathematica > 1998 > 95 > 2 > 149-158

In this paper we show that there exist mod 2 obstructions to the smoothness of 3-Sasakian reductions of spheres. Specifically, if S is a smooth 3-Sasakian manifold obtained by reduction of the 3-Sasakian sphere S₄_n_-1 by a torus, and if the second Betti number b₂(S) ≥ 2 then dim S = 7, 11, 15, whereas, if b₂(S) ≥ 5 then dim S = 7. We also show that the above bounds are sharp, in that we construct explicit...

article

The η-form and a generalized Maslov index

U. Bunke, H. Koch

manuscripta mathematica > 1998 > 95 > 2 > 189-212

Given a family {L₀(b), L₁(b)}_b∈B of pairs of transverse Lagrangian subspaces of a hermitean symplectic vector space we define a family of Dirac operators on the unit interval and consider its η-form η(L₀, L₁). To a family {L₀(b), L₁(b), L₂(b)}b∈B of pairwise transverse Lagrangian subspaces we associate the cocycle η(L₀, L₁) + η(L₁, L₂) + η(L₂, L₁) which is a closed form. We identify its cohomology...

article

Starshaped hypersurfaces¶and the mean curvature flow

Knut Smoczyk

manuscripta mathematica > 1998 > 95 > 2 > 225-236

Under the assumption of two a-priori bounds for the mean curvature, we are able to generalize a recent result due to Huisken and Sinestrari [8], valid for mean convex surfaces, to a much larger class. In particular we will demonstrate that these a-priori bounds are satisfied for a class of surfaces including meanconvex as well as starshaped surfaces and a variety of manifolds that are close to them...

article

Small maximal pro-p Galois groups

Ido Efrat

manuscripta mathematica > 1998 > 95 > 2 > 237-249

For an odd prime p we classify the pro-p groups of rank ≤ 4 which are realizable as the maximal pro-p Galois group of a field containing a primitive root of unity of order p.

article

Complex points of minimal surfaces in almost Kähler manifolds

Renyi Ma

manuscripta mathematica > 1998 > 95 > 2 > 159-168

If (N, ο, J,g) is an almost Kähler manifold and M is a branched minimal immersion which is not a $J$-holomorphic curve, we show that the complex tangents are isolated and that each has a negative index, which extends the results in the Kähler case by S. S. Chern and J. Wolfson [2] and S. Webster [7] to almost Kähler manifolds. As an application, we get lower estimates for the genus of embedded minimal...

article

Divergenzverhalten mehrdimensionaler Shannonscher Abtastreihen

Holger Boche

manuscripta mathematica > 1998 > 95 > 2 > 137-147

Abstract:The behaviour of multidimensional Shannon sampling series for continuous functions is examined. A continuous function g1C0 [0,1]2 with support in the rectangle [0,1] [0,] is indicated in the paper for which the two dimensional Shannon sampling series diverge almost everywhere in the rectangle [0,1] [,1]. This shows that the localization principle for Shannon sampling series cannot hold in...

article

A remark on the geometry of elliptic scrollsand bielliptic surfaces

C. Ciliberto, K. Hulek

manuscripta mathematica > 1998 > 95 > 2 > 213-224

Dedicated to the memory of F. Serrano

article

Starshaped hypersurfacesand the mean curvature flow

Knut Smoczyk

manuscripta mathematica > 1998 > 95 > 2 > 225-236

Abstract:Under the assumption of two a-priori bounds for the mean curvature, we are able to generalize a recent result due to Huisken and Sinestrari [8], valid for mean convex surfaces, to a much larger class. In particular we will demonstrate that these a-priori bounds are satisfied for a class of surfaces including meanconvex as well as starshaped surfaces and a variety of manifolds that are close...

article

Irreducibility of alternating andsymmetric squares

Kay Magaard, Gunter Malle

manuscripta mathematica > 1998 > 95 > 2 > 169-180

Abstract:We investigate the question when the alternating or symmetric square of an absolutely irreducible projective representation of a non-abelian simple group G is again irreducible. The knowledge of such representations is of importance in the description of the maximal subgroups of simple classical groups of Lie type. We obtain complete results for G an alternating group and for G a projective...

article

The -form and a generalized Maslov index

U. Bunke, H. Koch

manuscripta mathematica > 1998 > 95 > 2 > 189-212

Abstract:Given a family of pairs of transverse Lagrangian subspaces of a hermitean symplectic vector space we define a family of Dirac operators on the unit interval and consider its -form . To a family of pairwise transverse Lagrangian subspaces we associate the cocycle which is a closed form. We identify its cohomology class with a generalization to families of the triple Maslov index.

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MATHEMATICS SUBJECT CLASSIFICATION (1991):53A10 (4)
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MATHEMATICS SUBJECT CLASSIFICATION (1991): 53C20 (3)
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MATHEMATICS SUBJECT CLASSIFICATION (1991):14C20 (3)
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MATHEMATICS SUBJECT CLASSIFICATION (1991): 11F (2)
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MATHEMATICS SUBJECT CLASSIFICATION (1991): 14F05 (2)
MATHEMATICS SUBJECT CLASSIFICATION (1991): 22/22 G (2)
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manuscripta mathematica

Erratum to extrinsic symmetric spaces and orbits of s-representations

Two extremal elliptic fibrations on Jacobian Kummer surfaces

A unified approach to concrete plancherel theory of homoogeneous spaces

A unified approach to concrete plancherel theory of homogeneous spaces

Complex points of minimal surfaces in almost Khler manifolds

Pro-p Galois groups of rank 4

Multiplicities of mod p Galois representations

Multiplicities of mod p Galois representations

A remark on the geometry of elliptic scrolls¶and bielliptic surfaces

Irreducibility of alternating and¶symmetric squares

A note on smooth toral reductions of spheres

The η-form and a generalized Maslov index

Starshaped hypersurfaces¶and the mean curvature flow

Small maximal pro-p Galois groups

Complex points of minimal surfaces in almost Kähler manifolds

Divergenzverhalten mehrdimensionaler Shannonscher Abtastreihen

A remark on the geometry of elliptic scrollsand bielliptic surfaces

Starshaped hypersurfacesand the mean curvature flow

Irreducibility of alternating andsymmetric squares

The -form and a generalized Maslov index

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