Kernel memory is managed in a fairly straightforward way. It is not demand-paged, which means that for every allocation using kmalloc() or a similar function, there is real physical memory. Kernel memory is never discarded or paged out.
Some architectures show a summary of the memory mapping at boot time in the kernel log messages. This trace is taken from a 32-bit ARM device (a BeagleBone Black):
Memory: 511MB = 511MB total
Memory: 505980k/505980k available, 18308k reserved, 0K highmem
Virtual kernel memory layout:
vector : 0xffff0000 - 0xffff1000 ( 4 kB)
fixmap : 0xfff00000 - 0xfffe0000 ( 896 kB)
vmalloc : 0xe0800000 - 0xff000000 ( 488 MB)
lowmem : 0xc0000000 - 0xe0000000 ( 512 MB)
pkmap : 0xbfe00000 - 0xc0000000 ( 2 MB)
modules : 0xbf800000 - 0xbfe00000 ( 6 MB)
.text : 0xc0008000 - 0xc0763c90 (7536 kB)
...