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“The family is not doing very well obviously. They are shocked,” said his manager Sabine Kehm, who added that the family still appreciated the outpouring of support.

The French prosecutor in Albertville has opened an investigation into the accident, according to the Mountain Gendarmerie in Bourg-Saint-Maurice. The goal is to determine the circumstances and cause of the accident.

Formula One drivers and fans rushed to wish Schumacher a quick recovery.

“Like millions of Germans, the chancellor and members of the government were extremely dismayed when they heard about Michael Schumacher’s serious skiing accident,” German Chancellor Angela Merkel’s spokesman, Steffen Seibert, said in Berlin.

Sebastian Vettel, the Formula One racer for whom Schumacher was a boyhood idol, told German news agency dpa: “I am shocked and hope that he will get better as soon as possible.”

Ferrari, which Schumacher raced for, also expressed its concern.

“Everyone at Ferrari has been in a state of anxiety since hearing about Michael Schumacher’s accident,” the company said in a statement, adding that its president, Luca di Montezemolo, and race team leader, Stefano Domenicali, were in contact with the family.

Former Ferrari teammate Felipe Massa, who himself recovered from life-threatening head injuries at the Hungarian Grand Prix in 2009, wrote on Instagram: “I am praying for you my brother!! I hope you have a quick recovery!! God bless you Michael.”

British former world racing champion Jenson Button posted that “Michael more than anyone has the strength to pull through this.”

Some fans gathered outside the hospital Monday.

Nuravil Raimbekov, a student from Kyrgyzstan who is studying in Grenoble, said Schumacher has been an inspiration to him.

“I’m worried, of course, like all of you, all of the fans, supporters, but I still hope and I will pray for him,” he said.

During his career, Schumacher won seven drivers’ championships and 91 race wins. After initial success with the Benetton team, Schumacher moved to Ferrari and helped turn the Italian team into the sport’s dominant force. After initially retiring in 2006, he made a comeback in 2010 and raced for three years with Mercedes.

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DiLorenzo reported from Paris. Lori Hinnant in Paris, Geir Moulson in Berlin, AP Sports Writer John Leicester in Super-Besse, France, Medical Writer Lauren Neergaard in Washington and Deborah Gouffran and Milos Krivokapic in Grenoble contributed to this report.