Heisenberg群中低余维正则子流形的面积公式
Area formula for regular submanifolds of low codimension in Heisenberg groups
摘要:
建立了Heisenberg群中低余维的固有正则子流形的球面测度的面积公式。球面测度是相对于任意齐次距离计算的。在证明的论据中,我们指出了内在图的可微性和内在可微函数的链式法则。
英文摘要:
We establish an area formula for the spherical measure of intrinsically regular submanifolds of low codimension in Heisenberg groups. The spherical measure is computed with respect to an arbitrary homogeneous distance. Among the arguments of the proof, we point out the differentiability properties of intrinsic graphs and a chain rule for intrinsic differentiable functions.
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