If w is a (k- 1) -form on a compact k-dimensional manifold M, prove that Mdw =0.
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (4 reviews)
One has as is emp...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Basic questions
-
Verify that if W is a subspace of an inner product space V and v is in V, then perpw (v) is orthogonal to all w in W.
-
Show that if W is a subspace of an inner product space V that is spanned by a set of vectors S, then a vector u in V belongs to W if and only if u is orthougonal to every vector in S.
-
If M is a k-dimensional manifold with boundary, prove that M is a (k - 1) -dimensional manifold and M - M is a k=dimensional manifold.
-
Why does the magnetization current impose an upper limit on the voltage applied to a transformer core?
-
Develop a list of procyclical assets. Under what conditions would it be wise to consider including several of them in a portfolio? The market prices of stocks, property, and many commodities tend to...
-
A collar B, of mass m and negligible dimensions, is attached to the rim of a hoop of the same mass m and of radius r that rolls without sliding on a horizontal surface. Determine the angular velocity...
-
Derive Eq. (15-63c) from Eq. (15-63a). kc (Sc) 2/3 hheat transfer pcpv (Pr)2/3 = hheat transfer JD = (k/v)(Sc)2/3=j = Sh(Sc) 1/3=Nu(Pr)-1/3 = Re f/2 = f/2 pcpv (15-63a) (15-63b) (15-63c)
-
Sala Co. is contemplating the replacement of an old machine with a new one. The following information has been gathered: If the old machine is replaced, it can be sold for $20,000. 1. Which of the...
-
Considering the number of units of item B that we have on hand, how many more units of item B we need to produce 100 units of A? Considering the number of units of item D that we have on hand, how...
-
Laurman, Inc. is considering a new project and has provided the details of the project. The Controller has asked you to compute various capital budgeting methods to help aid in the decision to pursue...
-
a. Show that Theorem 5-5 is false if M is not required to be compact. b. Show that Theorem 5-5 holds for noncom-pact M provided that w vanishes outside of a compact subset of M.
-
An absolute k-tensor on v is a function Vk R of the form |w| for w Є Ak (V). An absolute k-form on M is a function such that n (x) is an absolute k-tensor on Mx. Show that Mn can be defined,...
-
ALLOCATING OPERATING EXPENSERELATIVE NET SALES Amelia Diaz owns a sporting goods store. She has divided her store into three departments. Net sales for the month of July are as follows: Football:...
-
Jean Piaget believed that around age 11, young people enter the formal operational stage, in which they develop the capacity for advanced cognitive thinking. What are the major characteristics of the...
-
In ANOP, p = 72 inches, o = 71 inches and Z0-43. Find all possible values of ZP, to the nearest degree
-
What extent do critical approaches necessitate interdisciplinary convergence, and what are the benefits and drawbacks of such a convergence?
-
What information do you need to prepare a Statement of Cash Flows of a company
-
Determine the price of a $ 3 , 0 0 0 , 0 0 0 bond issue using Excel's = PV function under five independent assumptions: Navigation: Use the Open Excel in New Tab button to launch this question. When...
-
_____ is a collective work stoppage by members of a union that is intended to put pressure on an employer.
-
Proposals have been made to ?sail? spacecraft to the outer solar system using the pressure of sunlight, or even to propel interstellar spacecraft with high-powered, Earth-based lasers. Sailing...
-
Water + hexane and water + benzene are immiscible pairs. (a) The binary system water + benzene boils at 69.4 C and 760 mmHg. What is the activity coefficient of benzene in water if the solubility at...
-
The following table lists several corporate bonds issued during the third quarter of 2021. Company Alphabet AT&T Ford Goldman Sachs Verizon Wells Fargo Time to Maturity 19 10 7 4 6 5 (years) Annual...
-
A pension plan is obligated to make disbursements of $ 1 . 9 million, $ 2 . 9 million, and $ 1 . 9 million at the end of each of the next three years, respectively. The annual interest rate is 1 1 %...
-
Suppose MMM has a project opportunity. The project has an initial cost of $ 1 0 million. The project's expected cashflows are $ 1 million the first year, $ 2 million the second year, and will...
Study smarter with the SolutionInn App