Geometry of reflective submanifolds in Riemannian symmetric spaces

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概要

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• The set $\mathscr{R}$(B) of submanifolds conjugate to a given reflective submanifold B in a Riemannian symmetric space M has a structure of symmetric space. Using this structure, for a submanifold N in M we establish integral formulae which represent the integrals of the functions C $\mapsto$ vol(N∩C) on $\mathscr{R}$(B) by some extrinsic geometric amounts of N.

• 社団法人 日本数学会の論文
• 2006-01-01

著者

• Tasaki Hiroyuki

  Graduate School Of Pure And Applied Science University Of Tsukuba

関連論文

• Weakly reflective submanifolds and austere submanifolds
• Geometry of reflective submanifolds in Riemannian symmetric spaces

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