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Displaying 61 – 80 of 121

Module derivations and cohomological splitting of adjoint bundles

Akira Kono, Katsuhiko Kuribayashi (2003)

Fundamenta Mathematicae

Let G be a finite loop space such that the mod p cohomology of the classifying space BG is a polynomial algebra. We consider when the adjoint bundle associated with a G-bundle over M splits on mod p cohomology as an algebra. In the case p = 2, an obstruction for the adjoint bundle to admit such a splitting is found in the Hochschild homology concerning the mod 2 cohomologies of BG and M via a module derivation. Moreover the derivation tells us that the splitting is not compatible with the Steenrod...

Non-trivial characteristic invariants of homogeneous foliated bundles

Franz W. Kamber, Philippe Tondeur (1975)

Annales scientifiques de l'École Normale Supérieure

On F-connections

P. G. Walczak (1975)

Colloquium Mathematicae

On forms and connections on fibre bundles

Anton Dekrét (1980)

Časopis pro pěstování matematiky

On graded bundles and their geometry

J. Czyż (1984)

Banach Center Publications

On higher order point singularities of some geometric object fields

Anton Dekrét (1980)

Mathematica Slovaca

On homotopically regular mappings of manifolds

E. V. Shchepin (1986)

Banach Center Publications

On Lusternik-Schnirelmann category of SO(10)

Norio Iwase, Toshiyuki Miyauchi (2016)

Fundamenta Mathematicae

Let G be a compact connected Lie group and p: E → ΣA be a principal G-bundle with a characteristic map α: A → G, where A = ΣA₀ for some A₀. Let $K_{i} \to F_{i - 1} ↪ F_{i} | 1 \leq i \leq m$ with F₀ = ∗, F₁ = ΣK₁ and Fₘ ≃ G be a cone-decomposition of G of length m and F’₁ = ΣK’₁ ⊂ F₁ with K’₁ ⊂ K₁ which satisfy $F_{i} F^{'} ₁ \subset F_{i + 1}$ up to homotopy for all i. Then cat(E) ≤ m + 1, under suitable conditions, which is used to determine cat(SO(10)). A similar result was obtained by Kono and the first author (2007) to determine cat(Spin(9)), but that result could not...

On the automorphisms of principal fibre bundles

Ivan Kolář (1980)

Commentationes Mathematicae Universitatis Carolinae

On the Chern character of glued bundles

Jan A. Rempała (1988)

Annales Polonici Mathematici

On the De Rham Invariant of a Fibered (4r + l)-Dimensional Orientable Manifold.

J.C. Alexander (1981)

Mathematische Annalen

On the differential geometry of frame bundles of Riemannian manifolds.

Kam-Ping Mok (1978)

Journal für die reine und angewandte Mathematik

On the existence of parallel normal vector fields of surfaces in $E^{4}$

Alois Švec (1976)

Czechoslovak Mathematical Journal

On the form of principal torus-bundles over toruses

T. Jakubowski (1974)

Colloquium Mathematicae

On the Lie algebra of vertical prolongation operators

Josef Janyška (1982)

Czechoslovak Mathematical Journal

On the space of maps inducing isomorphic connections

T. R. Ramadas (1982)

Annales de l'institut Fourier

Let $ω$ be the universal connection on the bundle $E U (n) \to B U (n)$ . Given a principal $U (n)$ -bundle $P \to M$ with connection $A$ , we determine the homotopy type of the space of maps $ϕ$ of $M$ into $B U (n)$ such that $(ϕ^{+} E U (n), ϕ^{+} ω)$ is isomorphic to $(P, A)$ . Here $ϕ^{+}$ denotes pull-back.

On the spectral sequence fo r the $\bar{\partial}$ -cohomology of a holomorpkic bundle with Stein fibres

Guido Lupacciolu (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si esamina la successione spettrale per la $\bar{\partial}$ -coomologia dello spazio totale di un fibrato olomorfo nel caso in cui le fibre siano varietà di Stein.

On the stratification of the orbit space for the action of automorphisms on connections [Book]

Witold Kondracki, Jan Rogulski (1986)

On the triangulation of smooth fibre bundles

F. Johnson (1983)

Fundamenta Mathematicae

On the uniform perfectness of groups of bundle homeomorphisms

Tomasz Rybicki (2019)

Archivum Mathematicum

Groups of homeomorphisms related to locally trivial bundles are studied. It is shown that these groups are perfect. Moreover if the homeomorphism isotopy group of the base is bounded then the bundle homeomorphism group of the total space is uniformly perfect.

Currently displaying 61 – 80 of 121

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