外尔管公式的变形
Variations of Weyl's tube formula
摘要：
1939年Weyl证明了欧几里得空间紧致子流形M周围的球管的体积仅取决于M上的诱导黎曼度量。对于具有比圆球更一般的截面D的管，管体积的这种固有性质是否能保持不变？在D上足够强的对称性条件下，答案是肯定的。
英文摘要：
In 1939 Weyl showed that the volume of spherical tubes around compact submanifolds M of Euclidean space depends solely on the induced Riemannian metric on M. Can this intrinsic nature of the tube volume be preserved for tubes with more general cross sections D than the round ball? Under sufficiently strong symmetry conditions on D the answer turns out to be yes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
