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Differential Geometry papers — page 17

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The First Eigenvalue of P-manifolds
Antonio Ros gave a lower bound for the first eigenvalue λ1 of Δ of a P-manifold (M, g) in terms of the lower bound on the Ricci curvature RicM and asked what happened when this lower…
Akhil Ranjan, G. SanthanamNov 24, 1995
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π1 of symplectic automorphism groups and invertibles in quantum homology rings
We define a homomorphism from (a certain extension of) the fundamental group of the Hamiltonian automorphism group of a symplectic manifold to the group of invertibles in its quantum cohomology ring.…
Paul SeidelNov 23, 1995
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Regularized and L2-Determinants
It is shown that in a tower of coverings the regularized determinant of a generalized Laplacian converges to the L2-determinant. This shows generic nontriviality of analytic torsion or regularized…
Anton DeitmarNov 23, 1995
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Donaldson invariants for some glued manifolds
We prove that every suitable 4-manifold with b1=0 and with an embedded Riemann surface of genus 2 is of simple type. We find a relationship between the basic classes of two of these…
Vicente MuñozNov 23, 1995
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Constraints for Seiberg-Witten basic classes of glued manifolds
We use rudiments of the Seiberg-Witten gluing theory for trivial circle bundles over a Riemann surface to relate de Seiberg-Witten basic classes of two 4-manifolds containing Riemann surfaces of…
Vicente MuñozNov 23, 1995
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A Generalisation of Obata's theorem
In a complete Riemannian manifold (M, g) if the hessian of a real valued function satisfies some suitable conditions then it restricts the geometry of (M, g). In this paper we characterize all…
Akhil Ranjan, G. SanthanamNov 23, 1995
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Hamiltonian torus actions on symplectic orbifolds and toric varieties
In the first part of the paper, we build a foundation for further work on Hamiltonian actions on symplectic orbifolds. Most importantly we prove the orbifold versions of the abelian connectedness and…
Eugene Lerman, Susan TolmanNov 18, 1995
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Examples of non-Kaehler Hamiltonian torus actions
An important question with a rich history is the extent to which the symplectic category is larger than the Kaehler category. Many interesting examples of non-Kaehler symplectic manifolds have been…
Susan TolmanNov 16, 1995
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Geometric zeta-functions of locally symmetric spaces
The theory of geometric zeta functions for locally symmetric spaces as initialized by Selberg and continued by numerous mathematicians is generalized to the case of higher rank spaces. We show…
Anton DeitmarNov 10, 1995
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Modified Novikov--Veselov equation and differential geometry of surfaces
Global deformations of surfaces, immersed into the Euclidean 3-space, by using the modified Novikov--Veselov equation are investigated. relation to the theory of the Willmore functional is discussed
I. A. TaimanovNov 7, 1995
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On one family of 13-dimensional closed Riemannian positively curved manifolds
An infinite family of pairwise nonhomeomorphic 13-dimensional positively curved manifolds is constructed
Ya. V. BazaikinNov 7, 1995
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Complete lifts of harmonic maps and morphisms between Euclidean spaces
We introduce the complete lifts of maps between (real and complex) Euclidean spaces and study their properties concerning holomorphicity, harmonicity and horizontal weakly conformality. As…
Ye-lin OuNov 7, 1995
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On the classification of quadratic harmonic morphisms between Euclidean spaces
We give a classification of quadratic harmonic morphisms between Euclidean spaces (Theorem 2.4) after proving a Rank Lemma. We also find a correspondence between umbilical (Definition 2.7) quadratic…
Ye-lin Ou, J. C. WoodNov 3, 1995
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Quadratic harmonic morphisms and O-systems
We introduce O-systems (Definition DO) of orthogonal transformations of Rm, and establish 1-1 correspondences both between equivalence classes of Clifford systems and that of…
Ye-lin OuNov 3, 1995
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Torsions for manifolds with boundary and glueing formulas
We extend the definition of analytic and Reidemeister torsion from closed compact Riemannian manifolds to compact Riemannian manifolds with boundary (M, ∂ M), given a flat bundle F of…
D. Burghelea, L. Friedlander, T. KappelerOct 31, 1995
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Substantial Riemannian Submersions of S(15) with 7- dimensional fibres
In this paper we show that a substantial Riemannian submersion of S(15) with 7- dimensional fibres is congruent to the standard Hopf fibration. As a consequence we prove a slightly weak form of of…
Akhil RanjanOct 31, 1995
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Theorem on six vertices of a plane curve via the Sturm theory
We discuss the theorem on the existence of six points on a convex closed plane curve in which the curve has a contact of order six with the osculating conic. (This is the ``projective…
L. Guieu, E. Mourre, V. Yu. OvsienkoOct 26, 1995
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Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and flattening of Legendrian curves
We discuss Ghys' theorem on 4 zeroes of the Schwarzian derivative and its relation with flattening points of Legendrian curves and Sturm theory.
V. Ovsienko, S. TabachnikovOct 26, 1995
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Group systems, groupoids, and moduli spaces of parabolic bundles
Let G be a Lie group, with an invariant non-degenerate symmetric bilinear form on its Lie algebra, let π be the fundamental group of an orientable (real) surface M with a finite number of…
K. Guruprasad, J. Huebschmann, L. Jeffrey et al.Oct 23, 1995
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The Geometric Phase in the Three-Body Problem
Suppose that the initial triangle formed by the three moving masses of the three-body problem is similar to the triangle formed at some later time. We derive a simple integral formula for the overall…
Richard MontgomeryOct 16, 1995
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Periodic Hamiltonian flows on four dimensional manifolds
We classify the periodic Hamiltonian flows on compact four dimensional symplectic manifolds up to isomorphism of Hamiltonian S1 spaces. Additionally, we show that all these spaces are Kaehler, that…
Yael KarshonOct 13, 1995
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On the space of harmonic 2-spheres in CP2
Carrying further work of T.A. Crawford, we show that each component of the space of harmonic maps from the 2-sphere to complex projective 2-space of degree d and energy 4 πE is a smooth…
L. Lemaire, J. C. WoodOct 6, 1995
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Compact null hypersurfaces and collapsing Riemannian manifolds
Restrictions are obtained on the topology of a compact divergence-free null hypersurface in a four-dimensional Lorentzian manifold whose Ricci tensor is zero or satisfies some weaker conditions. This…
Alan D. RendallOct 6, 1995
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The Marked Length Spectrum vs. The Laplace Spectrum on Forms on Riemannian Nilmanifolds
The subject of this paper is the relationship among the marked length spectrum, the length spectrum, the Laplace spectrum on functions, and the Laplace spectrum on forms on Riemannian nilmanifolds.…
Ruth GornetOct 5, 1995
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Notes on Seiberg-Witten Gauge Theory
These notes provide an introductory exposition of the Seiberg-Witten gauge theory. They collect the material presented in a series of seminars given by the author at the University of Milano.
M. MarcolliSep 20, 1995
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