To find the managing servers of your LPAR you can use the domain status information - the ctrmc subsystem must be active in order to do so. You can check with:
# lssrc -s ctrmc Subsystem Group PID Status ctrmc rsct 1151036 active
Is the subsystem indeed active you get the IP address of your HMC with:
# /usr/sbin/rsct/bin/rmcdomainstatus -s ctrmc Management Domain Status: Management Control Points O A 0xccdfc3e608ad7624 0001 192.168.100.10
Is your LPAR also connected to a CSM server you would see two Control Points:
# /usr/sbin/rsct/bin/rmcdomainstatus -s ctrmc Management Domain Status: Management Control Points I A 0x58016857defc1b87 0001 192.168.100.11 I A 0xccdfc3e608ad7624 0002 192.168.100.10
For newer versions of rsct you could also use lsrsrc to get this information:
# lsrsrc -l "IBM.ManagementServer"
Resource Persistent Attributes for IBM.ManagementServer
resource 1:
Name = "192.168.100.10"
Hostname = "192.168.100.10"
ManagerType = "HMC"
LocalHostname = "192.168.100.23"
ClusterTM = "9078-160"
ClusterSNum = ""
ActivePeerDomain = ""
NodeNameList = {"mylpar22-ext"}
resource 2:
Name = "192.168.100.11"
Hostname = "192.168.100.11"
ManagerType = "CSM"
LocalHostname = "mylpar22"
ClusterTM = "9078-160"
ClusterSNum = "10BF571"
ActivePeerDomain = ""
NodeNameList = {"mylpar22-ext"}