Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

4 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On regular local operators on smooth maps

100%

Mikulski W.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2015

tom 69

nr 2

Let X, Y, Z, W be manifolds and π : Z → X be a surjective submersion. We characterize π-local regular operators A : C∞(X,Y) → C∞(Z,W) in terms of the corresponding maps Ã : J∞(X,Y) ×XZ → W satisfying the so-called local finite order factorization property.

Connections from trivializations

63%

Kurek J. , Mikulski W.

nr 2

Let P be a principal fiber bundle with the basis M and with the structural group G. A trivialization of P is a section of P. It is proved that there exists only one gauge natural operator transforming trivializations of P into principal connections in P. All gauge natural operators transforming trivializations of P and torsion free classical linear connections on M into classical linear connections on P are completely described.

On canonical constructions on connections

63%

Kurek J. , Mikulski W.

nr 1

We study how a projectable general connection \(\Gamma\) in a 2-fibred manifold \(Y^2\to Y^1\to Y^0\) and a general vertical connection \(\Theta\) in \(Y^2\to Y^1\to Y^0\) induce a general connection \(A(\Gamma,\Theta)\) in \(Y^2\to Y^1\).

On the existence of connections with a prescribed skew-symmetric Ricci tensor

63%

Kurek J. , Mikulski W.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2018

tom 72

nr 2

We study the so-called inverse problem. Namely, given a prescribed skew-symmetric Ricci tensor we find (locally) a respective linear connection.