Aspects of Differential Geometry II (Synthesis Lectures on Mathematics and Statistics)
Language: English
Published by Morgan & Claypool Publishers, 2015
Series: Book 15 of 72 - Synthesis Lectures on Mathematics & Statistics
- Softcover
- Used
Seller: suffolkbooks, center moriches, NY, U.S.A.suffolkbooks
AbeBooks seller since December 10, 2020
Condition: Used - Very good
£ 26.63
Quantity: 2 available
Add to basketItem description from seller
Fast Shipping - Safe and Secure 7 days a week.
Seller Inventory # 3TWOWA001NVX
- Title
- Aspects of Differential Geometry II (Synthesis Lectures on Mathematics and Statistics)
- Author
- Gilkey, Peter,Park, JeongHyeong,Vazquez-Lorenzo, Ramon
- Publisher
- Morgan & Claypool Publishers
- Publication year
- 2015
- Condition
- Very Good
- Binding
- paperback
- Language
- English
- ISBN 10
- 1627057838
- ISBN 13
- 9781627057837
- Series
- Book 15 of 72: Synthesis Lectures on Mathematics & Statistics
Book II deals with more advanced material than Book I and is aimed at the graduate level. Chapter 4 deals with additional topics in Riemannian geometry. Properties of real analytic curves given by a single ODE and of surfaces given by a pair of ODEs are studied, and the volume of geodesic balls is treated. An introduction to both holomorphic and Kähler geometry is given. In Chapter 5, the basic properties of de Rham cohomology are discussed, the Hodge Decomposition Theorem, Poincaré duality, and the Künneth formula are proved, and a brief introduction to the theory of characteristic classes is given. In Chapter 6, Lie groups and Lie algebras are dealt with. The exponential map, the classical groups, and geodesics in the context of a bi-invariant metric are discussed. The de Rham cohomology of compact Lie groups and the Peter--Weyl Theorem are treated. In Chapter 7, material concerning homogeneous spaces and symmetric spaces is presented. Book II concludes in Chapter 8 where the relationship between simplicial cohomology, singular cohomology, sheaf cohomology, and de Rham cohomology is established.
We have given some different proofs than those that are classically given and there is some new material in these volumes. For example, the treatment of the total curvature and length of curves given by a single ODE is new as is the discussion of the total Gaussian curvature of a surface defined by a pair of ODEs.
"Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
suffolkbooks
center moriches, NY, U.S.A.
AbeBooks seller since December 10, 2020
Shipping rates within U.S.A.
| Item | 5 to 14 business days | 3 to 6 business days |
|---|---|---|
| First item | £ 3.01 | £ 6.04 |
Payment methods
Store description
Selling quality used books for over 20 years
Specialty
quality used booksSeller's business information
Suffolk Book Center Inc
7 canal street
center moriches, NY U.S.A. 11934
Terms of sale
We guarantee the condition of every book as it's described on the Abebooks web sites. If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date. If you've changed your mind about a book that you've ordered, please use the Ask bookseller a question link to contact us and we'll respond within 2 business days.
Right of withdrawal
If you are a consumer you can withdraw from the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
Information regarding the right of withdrawal
Statutory right to withdraw
You have the right to withdraw from this contract within 14 days without giving any reason.
The withdrawal period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the last good or the last lot or piece.
To exercise the right of withdrawal, electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". We will communicate to you an acknowledgement of receipt of such a withdrawal on a durable medium (e.g. by e-mail) without delay.
To meet the withdrawal deadline, it is sufficient for you to send your communication concerning your exercise of the right of withdrawal before the withdrawal period has expired.
Effects of withdrawal
If you withdraw from this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to withdraw from this contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back, or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to suffolkbooks, center moriches, New York, U.S.A., without undue delay and in any event not later than 14 days from the day on which you communicate your withdrawal from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of withdrawal
The right of withdrawal does not apply to:
- The delivery of newspapers, journals or magazines with the exception of subscription contracts; and
- The supply of digital content which is not supplied on a tangible medium (e.g. on a CD or DVD) if you accepted when you placed your order that we could start to deliver it, and that you could not withdraw once delivery had started.