A classification of Monge-Ampère equations
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V. V. Lychagin, V. N. Rubtsov, I. V. Chekalov (1993)
Annales scientifiques de l'École Normale Supérieure
W.M. Mikulski (2015)
Archivum Mathematicum
Włodzimierz M. Mikulski (2005)
Commentationes Mathematicae Universitatis Carolinae
Let be a bundle functor of order , , on the category of -dimensional fibered manifolds and local fibered diffeomorphisms. Given a general connection on an -object we construct a general connection on be means of an auxiliary -th order linear connection on and an -th order linear connection on . Then we construct a general connection on by means of auxiliary classical linear connections on and on . In the case we determine all general connections on from...
Peter Michor (1984)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Pierre-André Chiappori, Ivar Ekeland (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Giovanni Bassanelli (1994)
Forum mathematicum
A. Heydari, N. Boroojerdian, E. Peyghan (2006)
Archivum Mathematicum
In this paper the symmetric differential and symmetric Lie derivative are introduced. Using these tools derivations of the algebra of symmetric tensors are classified. We also define a Frölicher-Nijenhuis bracket for vector valued symmetric tensors.
S. Świerczkowski (1974)
Colloquium Mathematicae
Jan Chrastina (1983)
Archivum Mathematicum
Jan Chrastina (1983)
Archivum Mathematicum
Turner, Paul (2004)
Algebraic & Geometric Topology
Kunio Kakié (1985/1986)
Mathematische Annalen
Popescu, Marcela, Popescu, Paul (2002)
Balkan Journal of Geometry and its Applications (BJGA)
Chrastinová, Veronika (2002)
Equadiff 10
Ivan Kolár (2003)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Christian Gross (1997)
Commentationes Mathematicae Universitatis Carolinae
This article deals with vector valued differential forms on -manifolds. As a generalization of the exterior product, we introduce an operator that combines -valued forms with -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.
Ivan Kolář (1975)
Časopis pro pěstování matematiky
Lukáš Vokřínek (2008)
Archivum Mathematicum
We prove a generalization of Thom’s transversality theorem. It gives conditions under which the jet map is generically (for ) transverse to a submanifold . We apply this to study transversality properties of a restriction of a fixed map to the preimage of a submanifold in terms of transversality properties of the original map . Our main result is that for a reasonable class of submanifolds and a generic map the restriction is also generic. We also present an example of where the...
Joseph Johnson (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Charles Fefferman (2005)
Revista Matemática Iberoamericana
Suppose that, for each point x in a given subset E ⊂ Rn, we are given an m-jet f(x) and a convex, symmetric set σ(x) of m-jets at x. We ask whether there exist a function F ∈ Cm,w(Rn) and a finite constant M, such that the m-jet of F at x belongs to f(x) + Mσ(x) for all x ∈ E. We give a necessary and sufficient condition for the existence of such F, M, provided each σ(x) satisfies a condition that we call "Whitnet w-convexity".
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