Geometriae Dedicata

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Mean curvature flow and Riemannian submersions
Geometriae Dedicata - Tập 184 - Trang 67-81 - 2016
Giuseppe Pipoli
We prove that a sufficient condition ensuring that the mean curvature flow commutes with a Riemannian submersion is that the submersion has minimal fibers. We then lift some results taken from the literature (i.e., Andrews and Baker in J Differ Geom 85:357–395, 2010; Baker in The mean curvature flow of submanifolds of high codimension, 2011; Huisken in J Differ Geom 20:237–266, 1984; Math Z 195:20...... hiện toàn bộ
Lorentzian Geometry of the Heisenberg Group
Geometriae Dedicata - Tập 118 - Trang 133-140 - 2006
N. Rahmani, S. Rahmani
In this work we prove the existence of totally geodesic two-dimensional foliation on the Lorentzian Heisenberg group H 3. We determine the Killing vector fields and the Lorentzian geodesics on H 3.
Cusp closing of hyperbolic manifolds
Geometriae Dedicata - Tập 59 - Trang 147-156 - 1996
S. V. Buyalo, V. L. Kobel'skii
A general method to produce infinitely many pairwise homotopically nonequivalent closed manifolds using the cusp closing construction is presented. An infinite sequence of closed homotopically nonequivalent real analytic Riemannian 5-manifolds with uniformly bounded volumes and uniformly bounded nonpositive sectional curvatures, which are allowed to vanish along codimension two submanifolds only, ...... hiện toàn bộ
A counterexample to a ‘simplex algorithm’ for convex bodies
Geometriae Dedicata - Tập 11 - Trang 475-488 - 1981
S. Gallivan, R. J. Gardner
A counterexample, in E 3, is given to the following conjecture. Suppose f * is a linear functional, and e an exposed point of a convex body K such that f * does not attain its maximum on K at e; then there is an f *-strictly increasing path in the one-skeleton of K emanating from e. The counterexample shows that a certain generalized ‘simplex algorithm’ fails. Furthermore for a different linear fu...... hiện toàn bộ
Barth type vanishing theorem
Geometriae Dedicata - Tập 141 - Trang 87-92 - 2008
F. Laytimi, D. S. Nagaraj
In this paper we give a vanishing result for cohomology groups of symmetric powers of the co-normal bundle of a non-degenerate smooth subvariety X of projective space, then we use this theorem to give a Barth type vanishing theorem.
On the geometric realization of Albanese's inequality
Geometriae Dedicata - Tập 39 Số 1 - 1991
Augusto Nóbile
Hyperbolic twisted torus links
Geometriae Dedicata - Tập 217 - Trang 1-16 - 2023
Thiago de Paiva
The twisted torus link T(p, q; r, s) is obtained by twisting r parallel strands of the (p, q)-torus link a total of s full times. In this paper we find all twisted torus links which are hyperbolic for $$\vert s\vert >3$$ .
A note on nodal determinantal hypersurfaces
Geometriae Dedicata - Tập 208 - Trang 97-111 - 2020
Sz-Sheng Wang
We prove that a general determinantal hypersurface of dimension 3 is nodal. Moreover, in terms of Chern classes associated with bundle morphisms, we derive a formula for the intersection homology Euler characteristic of a general determinantal hypersurface.
Refined gluing for vacuum Einstein constraint equations
Geometriae Dedicata - Tập 173 - Trang 393-415 - 2014
Erwann Delay, Lorenzo Mazzieri
We first show that the connected sum along submanifolds introduced by the second author for compact initial data sets of the vacuum Einstein system can be adapted to the asymptotically Euclidean and to the asymptotically hyperbolic context. Then, we prove that in every case, and generically, the gluing procedure can be localized, in order to obtain new solutions which coincide with the original on...... hiện toàn bộ
Nachruf
Geometriae Dedicata - Tập 13 - Trang 113-113 - 1982
Karl Strambach
Tổng số: 3,072   
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