Let X, Y be two oriented Riemannian manifolds respectively of dimensions n, m greater than or equal to 2. We shall assume that Y is compact and without boundary and that its integral 2-homology group H-2(Y) has no torsion, so that H-2(Y, Z) = {Sigma ((s) over bar)(s=1) n(s)[gamma](s)}, gamma (1),.., gamma ((s) over bar) being integral cycles and H-2(Y, R) = H-2(Y, Z) XR, and for future use eve denote by omega (1),..., omega ((s) over bar) the harmonic forms such that integral (gammas) omega (r) = ([gamma (s)]R\[omega (r)]) = deltas(r).
On sequences of maps with equibounded energies / M. GIAQUINTA; G. MODICA. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 12:(2001), pp. 213-222. [10.1007/PL00009912]
On sequences of maps with equibounded energies
GIAQUINTA, MARIANO;MODICA, GIUSEPPE
2001
Abstract
Let X, Y be two oriented Riemannian manifolds respectively of dimensions n, m greater than or equal to 2. We shall assume that Y is compact and without boundary and that its integral 2-homology group H-2(Y) has no torsion, so that H-2(Y, Z) = {Sigma ((s) over bar)(s=1) n(s)[gamma](s)}, gamma (1),.., gamma ((s) over bar) being integral cycles and H-2(Y, R) = H-2(Y, Z) XR, and for future use eve denote by omega (1),..., omega ((s) over bar) the harmonic forms such that integral (gammas) omega (r) = ([gamma (s)]R\[omega (r)]) = deltas(r).I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.