JACQUES GASQUI, HUBERT GOLDSCHMIDT
Radon Transforms and the Rigidity of the Grassmannians (AM-156)
This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. Its primary focus is the spectral rigidity problem: Can the metric of a given Riemannian symmetric space of compact type be characterized by means of the spectrum of its Laplacian? It also addresses a question rooted in the Blaschke problem: Is a Riemannian metric on a projective space whose geodesics are all closed and of the same length isometric to the canonical metric? The authors comprehensively treat the results concerning Radon transforms and the infinitesimal versions of these two problems. Their main result implies that most Grassmannians are spectrally rigid to the first order. This is particularly important, for there are still few isospectrality results for positively curved spaces and these are the first such results for symmetric spaces of compact type of rank >1. The authors exploit the theory of overdetermined partial differential equations and harmonic analysis on symmetric spaces to provide criteria for infinitesimal rigidity that apply to a large class of spaces. A substantial amount of basic material about Riemannian geometry, symmetric spaces, and Radon transforms is included in a clear and elegant presentation that will be useful to researchers and advanced students in differential geometry.
List Price: $115.00 (Final bulk discount pricing is based on quantity)
ISBN: 9781400826179
Uh oh. It looks like this title is out of stock.
Did you know eBooks never run out? It's true. We have millions of titles available right now. You can download an eBook in seconds.

Why eBooks are the Smart Way to Go

Deep bulk discounts and $0 in shipping costs means you save big with bulk eBooks. Plus, eBooks are typically cheaper than print books.
Distribute your eBooks via text message, email, social media, and more using redeemable eBook codes. Users can get their eBook instantly.
Receive Readership Analytics & Redemption Reports for proven engagement and user data, including name and email address.
Read from the convenience of our web reader or download the BookShout app on your favorite smart device to read anywhere.
Want to make the smart switch to eBooks? CLICK HERE
Not convinced yet? No problem. We can still get you the print books you need. Fill out the request form below and a member of our sales team will be in touch quickly.

Request Bulk Purchase:
Book Format*
Book Quantity*
How will the books be used?*


Interested in Gift Cards?
9781400826179 medium Bulk gift card c973c6294bb562c572cc09448c6304915953cb77b337c63c74b0d98ee2f3afc7
Benefits
Plastic Cards are standard Gift Card Size (3.375” x 2.125”). Cards can include scratch-offs over the redemption code. Cost less than distributing/shipping Print books. Great for Events, Churches, Schools, Authors, etc.