A symplectic version of Nash C1-isometric embedding theorem
نویسندگان
چکیده
منابع مشابه
Notes on Günther’s Method and the Local Version of the Nash Isometric Embedding Theorem
and the condition that f be an immersion is just that the vectors ∂if = ∂f/∂xi are pointwise linearly independent in U . The image of a smooth immersion can be thought of as a smooth n-dimensional submanifold of R . To understand the geometry of the image a first step is to see what happens to the length of curves in U as they are mapped by f . Let c(t) := (x(t), . . . , x(t)), a ≤ t ≤ b be a s...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2002
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(02)00067-0