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56 sonuçtan 1-3 arası sonuçlar
Sayfa 468
4 ) Obviously , the condition that the sum of the second fundamental forms of
smooth manifolds be positive semidefinite is not only sufficient but also
necessary for the resulting space to be Aleksandrov . Acknowledgements . The
author is ...
4 ) Obviously , the condition that the sum of the second fundamental forms of
smooth manifolds be positive semidefinite is not only sufficient but also
necessary for the resulting space to be Aleksandrov . Acknowledgements . The
author is ...
Sayfa 469
In a small neighborhood of r , these coordinates are smooth both in Mo and in M1
. Taken together , these coordinates determine a smooth structure on M , and Mo
and M1 are smooth submanifolds with respect to this structure . In these ...
In a small neighborhood of r , these coordinates are smooth both in Mo and in M1
. Taken together , these coordinates determine a smooth structure on M , and Mo
and M1 are smooth submanifolds with respect to this structure . In these ...
Sayfa 492
If TV is a smooth manifold and x € N, then TX(N) will denote the tangent space of
N at the point x. If A'i and 7V2 are smooth manifolds and G: N\ — > N2 is a
smooth mapping, then we let DGX: TX(N\) — ▻ Ta(x){^2) be the induced
mapping.
If TV is a smooth manifold and x € N, then TX(N) will denote the tangent space of
N at the point x. If A'i and 7V2 are smooth manifolds and G: N\ — > N2 is a
smooth mapping, then we let DGX: TX(N\) — ▻ Ta(x){^2) be the induced
mapping.
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algebraic analytic apply assume basis boundary bounded called chain homotopy closed coefficients complex computation condition connection Consequently consider constant construction contains continuous convex corresponding defined definition deformation denote determined differential domain element equal equation equivalence estimate example exists extension fact field finite fixed formula function given identity implies inequality integral intersection introduce invariant inverse isomorphism Lemma linear Math Mathematical matrix measure metric Moreover natural normal Observe obtain Obviously operator orientation particular periodic positive present problem projective Proof properties Proposition prove regular relation Remark respectively result ring satisfies scheme sequence singular smooth solutions space standard statement Subsection suffices Suppose takes Theorem theory transformation true twists unique vector weight zero