Minimal Surface: Is X a Minimal Surface?

Ms Mrmr · 2011-05-30T02:26:59+00:00

minimal surface ?? Hi , I have Q. about the minimal surface ... if we have this surface X=(u-sinucoshv , 1-cosucoshv , -4sin(u/2)sinh(v/2)) it is minimal surface ?? and how know it ? thanks .:smile:

Thread 'Injective immersion and embedding'

Hello! There is a simple line in the textbook. If ##S## is a manifold, an injectively immersed submanifold ##M## of ##S## is embedded if and only if ##M## is locally closed in ##S##. Recall the definition. M is locally closed if for each point ##x\in M## there open ##U\subset S## such that ##M\cap U## is closed in ##U##. Embedding to injective immesion is simple. The opposite direction is hard. Suppose I have ##N## as source manifold and ##f:N\rightarrow S## is the injective...

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Thread 'Injective immersion and embedding'

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