EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 61 – 80 of 90

Some results on curvature and topology of Finsler manifolds

Bing Ye Wu (2013)

Annales Polonici Mathematici

We investigate the curvature and topology of Finsler manifolds, mainly the growth of the fundamental group. By choosing a new counting function for the fundamental group that does not rely on the generators, we are able to discuss the topic in a more general case, namely, we do not demand that the manifold is compact or the fundamental group is finitely generated. Among other things, we prove that the fundamental group of a forward complete and noncompact Finsler n-manifold (M,F) with nonnegative...

Stability of Critical Points under Small Perturbations. Part I: Topological Theory.

Michael Reeken (1972)

Manuscripta mathematica

Stability of Critical Values and Isolated Critical Continua.

Michael Reeken (1974)

Manuscripta mathematica

Stability of the equator map.

Kunio Sakamoto (1991)

Journal für die reine und angewandte Mathematik

Submanifold geometry and Hessians on the pseudoriemannian manifold of metrics.

Neuwirther, M. (1993)

Acta Mathematica Universitatis Comenianae. New Series

Sur la dérivation de Lie dans les variétés de Banach

G. Gheorghiev (1972)

Colloquium Mathematicae

The Bonnet-Meyers theorem is true for Riemann Hilbert Manifolds.

Lars Andersson (1986)

Mathematica Scandinavica

The diameter of the symplectomorphism group is infinite.

Tudor Ratiu, Yakov Eliashberg (1991)

Inventiones mathematicae

The Euler characteristic of vector fields on Banach manifolds and the problem of Plateau

Antony Tromba (1976)

Mémoires de la Société Mathématique de France

The Frölicher-Nijenhuis bracket on some functional spaces

Ivan Kolář, Marco Modungo (1998)

Annales Polonici Mathematici

Two fiber bundles E₁ and E₂ over the same base space M yield the fibered set ℱ(E₁,E₂) → M, whose fibers are defined as $C^{\infty} (E ₁ ₓ, E ₂ ₓ)$ , for each x ∈ M. This fibered set can be regarded as a smooth space in the sense of Frölicher and we construct its tangent prolongation. Then we extend the Frölicher-Nijenhuis bracket to projectable tangent valued forms on ℱ(E₁,E₂). These forms turn out to be a kind of differential operators. In particular, we consider a general connection on ℱ(E₁,E₂) and study the associated...

The ..-invariant of hyperbolic 3-manifolds.

Tomoyoshi Yoshida (1985)

Inventiones mathematicae

The Morse-Sard-Brown Theorem for Functionals on Bounded Fréchet-Finsler Manifolds

Kaveh Eftekharinasab (2015)

Communications in Mathematics

In this paper we study Lipschitz-Fredholm vector fields on bounded Fréchet-Finsler manifolds. In this context we generalize the Morse-Sard-Brown theorem, asserting that if $M$ is a connected smooth bounded Fréchet-Finsler manifold endowed with a connection $𝒦$ and if $ξ$ is a smooth Lipschitz-Fredholm vector field on $M$ with respect to $𝒦$ which satisfies condition (WCV), then, for any smooth functional $l$ on $M$ which is associated to $ξ$ , the set of the critical values of $l$ is of first category in $ℝ$ . Therefore,...

The rectifiable distance in the unitary Fredholm group

Esteban Andruchow, Gabriel Larotonda (2010)

Studia Mathematica

Let $U_{c} ()$ = u: u unitary and u-1 compact stand for the unitary Fredholm group. We prove the following convexity result. Denote by $d_{\infty}$ the rectifiable distance induced by the Finsler metric given by the operator norm in $U_{c} ()$ . If $u ₀, u ₁, u \in U_{c} ()$ and the geodesic β joining u₀ and u₁ in $U_{c} ()$ satisfy $d_{\infty} (u, β) < π / 2$ , then the map $f (s) = d_{\infty} (u, β (s))$ is convex for s ∈ [0,1]. In particular, the convexity radius of the geodesic balls in $U_{c} ()$ is π/4. The same convexity property holds in the p-Schatten unitary groups $U_{p} ()$ = u: u unitary and u-1 in the p-Schatten class...

Currently displaying 61 – 80 of 90

Previous Page 4 Next

Displaying 61 – 80 of 90

Some results on curvature and topology of Finsler manifolds

Stability of Critical Points under Small Perturbations. Part I: Topological Theory.

Stability of Critical Values and Isolated Critical Continua.

Stability of the equator map.

Submanifold geometry and Hessians on the pseudoriemannian manifold of metrics.

Sur la dérivation de Lie dans les variétés de Banach

The Bonnet-Meyers theorem is true for Riemann Hilbert Manifolds.

The diameter of the symplectomorphism group is infinite.

The Euler characteristic of vector fields on Banach manifolds and the problem of Plateau

The Frölicher-Nijenhuis bracket on some functional spaces

The ..-invariant of hyperbolic 3-manifolds.

The Morse-Sard-Brown Theorem for Functionals on Bounded Fréchet-Finsler Manifolds

The rectifiable distance in the unitary Fredholm group

The relation between the associate almost complex structure to $H M^{'}$ and $(H M^{'}, S, T)$ -Cartan connections.

Two Natural Metrics and Their Covariant Derivatives on a Manifold of Embeddings.

Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. I.

Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. II.

Über indefinite hermitesche Formen auf Hilbertraumbündeln.

Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms.

Variational metrics on $𝐑 \times T M$ and the geometry of nonconservative mechanics

Currently displaying 61 – 80 of 90