Mr Dlamini said the IPID did not have the power to suspend the officers.
"The show will be about our lives as young, black women, " said Swati Dlamini.
"We're not wearing 'I'm a Mandela' T-shirts, " said Swati Dlamini, granddaughter of Winnie Madikizela-Mandela.
Mr. Dlamini said a second postmortem will be presented Monday, but declined to give further details.
Police who carry out crimes do not reflect the police service as a whole, Dlamini said.
Ms. Dlamini-Zuma first challenged Mr. Ping for the post at a previous AU summit in January.
"We know that people worry and we know that people are concerned, " Dlamini said.
The board appointed Mrs Carroll to shake things up, and Mr Dlamini is determined to do his bit.
She played a leading role in an all-black musical about South African boxing legend Ezekiel "King Kong" Dlamini.
Her 32-year-old sister Swati Dlamini is a single mother with a 3-year-old daughter.
Ms Nkosazana Dlamini Zuma, Chairperson of the Commission of the African Union, is the guest of honour at the event.
Dlamini-Manaway, described as the "mother figure, " is the child of Mandela's daughter, Zenani, who was born to Mandela's second wife, Winnie.
Taking the king to court would be difficult, since he is above the law, so Ms Dlamini is suing his two emissaries instead.
South African officials lobbied aggressively for Ms. Dlamini-Zuma despite an informal arrangement that the chairmanship be held by one of Africa's smaller nations.
Independent Police Investigative Directorate (IPID) spokesman Moses Dlamini said his organisation was investigating the incident and that it too was shocked by the footage.
Ms. Dlamini-Zuma was elected the AU's new chairwoman Sunday in the fourth round of voting by AU member countries gathered in Addis Ababa, Ethiopia.
Two of Nelson Mandela's daughters -- Makaziwe Mandela and Zenani Dlamini -- are currently embroiled in a legal battle over the former political prisoner's money.
Dlamini said she is telling her children about their great-grandfather's life.
"We are sending spare parts of the helicopter that has been phased out and the frames, " defence department spokesman Siphiwe Dlamini told the AFP news agency.
BBC: South Africa court 'halts Zimbabwe helicopter donation'
Dlamini-Manaway is married to David Manaway, an American businessman she met while studying psychology at Clark Atlanta University, and has a 10-year-old son and a 2-year-old daughter.
Mr Dlamini, blessed with a dogged determination, support from senior people inside and outside the group, and an ability to adapt to alien environments, stayed the course.
"We are shocked by this incident, " said Moses Dlamini, a spokesman for the Police Investigative Directorate, an independent government agency that looks into possible crimes by police.
Because Mandela is in his 90s, it's understandable that "once in a while, he needs medical care and medical attention, " another granddaughter, 33-year-old Swati Dlamini, told CNN.
But Dlamini was quick to emphasize that in the nation of 50 million people, police who carry out crimes do not reflect the police service as a whole.
"He's always dedicated his life to the struggle, " Dlamini said.
Bobby Godsell, the former head of AngloGold, became one of Mr Dlamini's mentors after convincing him to join the group in the mid-1990s, fresh from England's rain and libraries.
Referring to the pedagogical use of the General History for Africa with the Director-General, Dr. Dlamini-Zuma underlined the need to better highlight the role of women in the history of the continent.
This week, the High Court considered a case brought by Lindiwe Dlamini, Ms Mahlangu's mother, who claims that the 18-year-old queen-to-be was kidnapped by the royal flunkies, along with two other girls.
Dlamini-Manaway, her sister and a cousin met Rey's executive producer, Rick Leed, according to information provided Thursday by Cutting Edge Communications, which is working with two South Africa-based production companies on the program.
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