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Dec 15, 2021 at 16:19 vote accept Laithy
Dec 15, 2021 at 16:18 comment added Laithy Thank you! It seems that the Kernel of $H_g^*$ is not empty thanks to Willie Wong's comment.
Dec 14, 2021 at 21:21 history edited MyShepherd CC BY-SA 4.0
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Dec 14, 2021 at 19:57 history edited MyShepherd CC BY-SA 4.0
I found a simpler argument, which also solves the equation in general geometry
Dec 14, 2021 at 17:27 history edited MyShepherd CC BY-SA 4.0
deleted 12 characters in body
Dec 14, 2021 at 17:21 history edited MyShepherd CC BY-SA 4.0
added 1 character in body
Dec 14, 2021 at 16:35 history answered MyShepherd CC BY-SA 4.0