By Stig I. Andersson (auth.), Antonio M. Naveira (eds.)
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Extra resources for Differential Geometry: Proceedings of the International Symposium held at Peñíscola, Spain, October 3–10, 1982
A transversely complex integrability 0 Frobenius condition to holo- theorem. [6,~] = 0 can be by analytic T(x) ~F given 1 ~ [~,~o] riemannian consisting T(x) and : 0 metric of vectors : L • v, c T(x) that such is ~l,0 the respectively holomorphic say ~ foliation is the by near case, F on X. tangent = c L let i • AF(V). F], written condition F can and we in terms we be have need projections the ~ be maps the map ~-i F~ Denote by to leaves the • v I'0 some ~ as F F is L the of F • • v 0'I, v 1,0 by means of Ducham definitions.
CARTAN, , un ~ n o n c 6 ticuli~rs applications de F R E N E T . - Wq_ 1 voisin. de ce t h 6 o r @ m e . ( C f , Les est ; dans exemples aussi dR ~ S. H U C K E L . ). R. tous des JENSEN, cas par- 31 Les limites et les i n c o n v 6 n i e n t s de ce t h 6 o r 6 m e y a l'arbitraire a surtout du choix des W la r e s t r i c t i o n q-r6guli6re elle 8tre k-r6guli6re que pour t o u t k ~ q les g r o u p e s de c o n t a c t d'ordre [3 m u n i un p o i n t ombilic du g r o u p 2 est implique pour tout k-r6guli~re et que suffisantes de c o n g r u e n c e a) Le T h @ o r e m e du group 1 en x 0 alors que, avoir le t h 6 o r @ m e cette de C o n g r u e n c e courbe ne p e u t 616ments Dans qui l'es- poss~de e n x 0 un l'616ment de c o n - aux points voisins; ou s u r f a c e n'est donner sous-vari@t6 V Ainsi, en particu- posshde de est nulle telle ci-dessus avec courbe d'isotropie qu'elle k ~ 1 une sous-vari6t6 tousles qui il il y de F R E N E T .
Z n) . , . a n d. given ~(zi;~j) of h y p e r K ~ h l e r just in t h e holomorphic ~-I(u) potential su(2v) same form cotangent being . (5 1 , manifolds U ,~n ) the as a b o v e bundle a subdomain fibre furnished of to some Pn(C), by T*' (Pn(C)) the + Izl 2) + /i + 4t - l o g ( l + t : (i + Iz12)(I~12 n + Iz
Differential Geometry: Proceedings of the International Symposium held at Peñíscola, Spain, October 3–10, 1982 by Stig I. Andersson (auth.), Antonio M. Naveira (eds.)