Math 645, Fall 2013: Assignment #9
Due: Thursday, November 21st
Problem #1. Do Carmo Chapter 9: # 1
Problem #2. Do Carmo Chapter 9: # 2
Problem #3. Do Carmo Chapter 9: # 3
Problem #4. Do Carmo Chapter 9: # 4
Problem #5.
Let : [0, 1] M be a smooth immersio
Math 645, Fall 2013: Assignment #1
Due: Thursday, September 19th
Problem #1. Do Carmo Chapter 0: # 1
Problem #2. Do Carmo Chapter 0: # 3
Problem #3. Do Carmo Chapter 0: # 9
Problem #4. Do Carmo Chapter 0: # 11
Problem #5. Do Carmo Chapter 0: # 12
Problem
Math 645, Fall 2013: Assignment #2
Due: Thursday, September 26th
Problem #1. Do Carmo Chapter 1: # 2
Problem #2. Do Carmo Chapter 1: # 3
Problem #3. Do Carmo Chapter 1: # 4
Problem #4. Do Carmo Chapter 1: # 5
Problem #5. Do Carmo Chapter 1: # 6
Problem #6
Math 645, Fall 2013: Assignment #4
Due: Thursday, October 10th
Problem #1. Do Carmo Chapter 3: # 1
Problem #2. Do Carmo Chapter 3: # 2
Problem #3. Do Carmo Chapter 3: # 5
Problem #4. Do Carmo Chapter 3: # 6
Problem #5. Do Carmo Chapter 3: # 7
Problem #6.
Math 645, Fall 2013: Assignment #5
Due: Thursday, October 17th
Problem #1. Do Carmo Chapter 4: # 2
Problem #2. Do Carmo Chapter 4: # 4
Problem #3. Do Carmo Chapter 4: # 6
Problem #4. Do Carmo Chapter 4: # 7
Problem #5. Do Carmo Chapter 4: # 8
Problem #6.
Math 645, Fall 2013: Assignment #3
Due: Thursday, October 3rd
Problem #1. Do Carmo Chapter 2: # 1 and #2
Problem #2. Do Carmo Chapter 2: # 3
Problem #3. Do Carmo Chapter 2: # 4
Problem #4. Do Carmo Chapter 2: # 7
Problem #5. Do Carmo Chapter 2: # 8
on R3
Math 645, Fall 2013: Assignment #8
Due: Thursday, November 14th
Problem #1. Do Carmo Chapter 8: # 4
Problem #2. Do Carmo Chapter 8: # 8
Problem #3. Do Carmo Chapter 8: # 9
Problem #4. Do Carmo Chapter 8: # 10
Problem #5. Do Carmo Chapter 8: # 11
Problem #
Math 645, Fall 2013: Assignment #7
Due: Thursday, November 7th
Problem #1. Do Carmo Chapter 7: # 1
Problem #2. Given the setup of Problem # 1 show that if dM = dN , then M is totally geodesic that is
all geodesics of M are geodesics of N .
Problem #3. Do
Math 645, Fall 2013: Assignment #6
Due: Thursday, October 31st
Problem #1. Do Carmo Chapter 5: # 1
Problem #2. Do Carmo Chapter 5: # 3
Problem #3. Do Carmo Chapter 5: # 4
Problem #4. Do Carmo Chapter 5: # 5
Problem #5. Do Carmo Chapter 5: # 6
Problem #6.