vgscan - scan all disks for volume groups and build /etc/lvmtab and /etc/lvmtab.d/* which are the database for all other lvm commands.
vgrename - rename a volume group
vgremove - remove a volume group
vgreduce - reduce a volume group
vgmerge - merge two volume groups
vgextend - add physical volumes to a volume group
vgdisplay - display attributes of volume groups
vgcreate - create a volume group
vgck - check volume group descriptor area
vgchange - change attributes of a volume group
vgcfgbackup - backup volume group descriptor area
pvscan - scan all disks for physical volumes
pvdisplay - display attributes of a physical volume
pvcreate - initialize a disk or partition for use by LVM
pvchange - change attributes of a physical volume
lvscan - scan (all disks) for logical volumes
lvrename - rename a logical volume
lvremove - remove a logical volume
lvreduce - reduce the size of a logical volume
lvmchange - change attributes of the logical volume manager
lvextend - extend the size of a logical volume
lvdisplay - display attributes of a logical volume
lvcreate - create a logical volume in an existing volume group
lvchange - change attributes of a logical volume

********* Example commands *****************

fdisk /dev/sdb   (create partition /dev/sdb1 of type 8e (LVM))
fdisk /dev/sdc   (create partition /dev/sdc1 of type 8e (LVM))
pvcreate /dev/sdb1 /dev/sdc1
vgcreate vg01 /dev/sdb1
lvcreate -n public -L500m vg01
mkfs.ext3 /dev/vg01/public
mkdir /public; mount /dev/vg01/public /public

vgextend vg01 /dev/sdc1    (adding a new PV to the VG)
pvchange --allocatable n /dev/scb1       (new space allocation disabled)
pvmove /dev/sdb1           (move data out of this PV to anywhere else)
vgreduce vg01 /dev/sdb1    (take this PV out of the Volume Group)

umount /public
e2fsadm -L+200M /dev/vg01/public    (make this Logical Volume bigger)
mount /dev/vg01/public /public      (enjoy your new space)