On the topological type of minimal submanifolds
โ Scribed by Brian White
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 253 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0040-9383
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Using Malliavin's calculus, the divergence, the covariant derivative, and the Riemann and Ricci curvatures of a submanifold of the Wiener space are defined. It is shown that the Ricci and Riemann curvatures appear in the commutator of the divergence operator and covariant derivative operator. Capaci
Assume that a submanifold M C Rn of an arbitrary codimension k E { 1,. . . , n} is closed in some open set 0 C IR". With a given function ZL E C2(0 \ M) we may associate its trivial extension ii : 0 + IR such that tIlo\~ = u and ~I M 0 . The jump of the Laplacian of the function ZL on the submanifol