Question: Let Kn = {xЄRn: x1 = 0 and x2. . . x n1 > 0}. If MCKn is a k-dimensional manifold and N is obtained

Let Kn = {xЄRn: x1 = 0 and x2. . . x n−1 > 0}. If MCKn is a k-dimensional manifold and N is obtained by revolving M around the axis x1 = . = xn-1=0, show that N is a (k + 1) -dimensional manifold. Example: the tours (Figure 5-4).

Step by Step Solution

3.42 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Consider the case where n 3 If is defined in some ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

M-C (84).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!