That statement doesn't even make any sense. Linux is a kernel. .NET programs are run in userspace. The two cannot, as far as I can tell, be even tangentially related, unless you're trying to call .NET some sort of kernel API?
Or is this that definition of "Linux" that people love these days, which is "whatever free software operating system distribution I happen to be most annoyed with this week"?
The .NET is better then the JVM because it was designed to run on windows only, so no run anywhere stuff needed to be designed.
I was doing Win32 development for 5 years and concluded the .NET development is the best way to go (Only if you can convince the marketing guy to include the 20MB runtime installer in the package)
Silverlight 2.0 runs C# code (any MSIL compiled code, really) on OS X quite well... It also includes a significant portion of the base class libraries.