Shipping Estimate
USA
- USA
- CAN
- USA
- CAN
Ships within 48 hours · Estimated delivery Jul 7 - Jul 12
Promo Codes Available:
For Your Every Summer RSVP, with Code: SUMMER15
Description
Spectral Geometry of the LaplacianThe totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz Obata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne P
The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz-Obata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne-P
Shipping Notes
- Free Standard Shipping on $100+ Orders to the USA.
- Except Preorder products are shipped in 48 hours.
- Delivery to the USA:
- Standard Shipping : 3-10 business days
- If time is of the essence, please consider selecting expedited delivery for faster service.
Exchange/Return Notes
- We offer a 30-day return/exchange service after receiving.
- Final sale items are not eligible for returns or exchanges.
- To process your return/exchange, please contact us at [email protected]
- Please click here for more details>>> Return & Exchange Policy
4.2 ★★★★★
Based on 813 reviews
Sort
Product Reviews
★★★★★ 5
Very nice
Color: Ivory, Size: 2' x 6' ((Double Pelt) Patchwork), Color: Ivory, Size: 2' x 6' ((Double Pelt) Patchwork)
Very fast shipping and for the price a nice rug. Has a slight natural odor (not bad) because my dog keeps burying his nose in it and despite me telling him no, he keeps trying to claim it for his bed while stretching out on it. But the odor is nothing that won't go away with a little time and is not too bad. plush enough but not extremely so as I expected for the price point. I'm happy with it. I may order another in a different color, because this is a little whiter than I anticipated. But it is gorgeous and soft. Update, first two white ones came very fast , third which was light brown took nearly a month to get here but is even more gorgeous than the white ones maybe because it was shipped in a huge cavernous box and appeared to come from a different distribution center than the others . See second photo for reference. No odor to speak of on this one and very full . I love it as it is lighter than the online photos and more of the creamy brown that I was hoping for . While waiting for it was frustrating because it took so long , I finally got it and am so very happy with it.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 21, 2026
★★★★★ 5
AMAZING!
Color: Ivory, Size: 2' x 3' (Single Pelt)
Absolutely amazing and fast shipping, the fur is so thick and fluffy I almost don't want to use it for what I'm using it for, I love it so much, going to use it on top of my bareback pad on my horse to absorbe impaction and give the nomadic saddle pad look! More than happy with it and may order another!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 27, 2026
★★★★★ 4
Good Quality for what you pay
Color: Golden Yellow, Size: 2' x 6' (Double Pelt)
I 24/7 'researched the heck out of Sheepskin Blk Fri DEALS, this was the best for the money.
I had a feeling this Long-Hair version of Sheepskin rug /piece was possibly not quite the same as stuff I bought in the early '90s...from an ACTUAL Sheep Farm -not the curly densely-packed Lambskin, more the '70's 'Shag-Rug' version.
Still- I LIKE IT. It's very WARM & seems to be made well even tho the backing is a trimmed down version of true leather. I use it as a large pad under my easy chair.
I got the YELLOW, worried the dye might affect the function but no- it did not and tbh- the Yellow is kind of awesome! A soft glowy SUNNY yellow good to blast you out of Winter DULL!
I'm NOT going to attempt to wash this. Brush it- yes. I will get it Dry-cleaned when needed.
I DO recommend this Sheepskin.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on December 3, 2025
★★★★★ 3
Hard to say if genuine or faux.
Color: Light Brown, Size: 2' x 3' (Single Pelt), Color: Light Brown, Size: 2' x 3' (Single Pelt)
I was really debating between two brands and decided to get this one since it had more good sounding reviews. I received it and now I'm not 100% sure if this is REAL sheep or just a really well done Faux. I trimmed a few pieces from this rug and my Faux one I got from ROSS and they both bubbled up exactly the same way when burned...But the rug I got from Ross is so much softer and smoother, but the backing is different in the Ross one and definitely a cotton material compared to this Amazon one which is slightly stiff but more suede looking. I also felt a real sheep rug earlier this week (and was what made me interested in buying one—but I wasn't interested in the price tag of the one from the store I found. However, the one at the store even had a tag on the corner stating "Genuine New Zealand Sheep Skin"). I just wish this had a stamp or tag somewhere or something on the piece stating it's "Genuine" like most authentic leather/fur goods have. It is fluffy and soft—but so is my faux rug from ROSS. This piece does have those curls/coils that make it seem more dense and like an actual sheep's coat. It might just be a REALLY low quality product that they're trying to market in an enticing manner. Even the backing looks like cheap cardboard like someone else stated. Either way, most likely keeping it since the price was alot less than the cost of the one I found at the store and I like the creamy beige color I ordered because it gives a more natural look than the stark white fur I originally found.
Regardless, it's for my Dog, so I'm not too bothered and if it gets messed up and mangled it won't be such a big deal.
Odor in the one I got just smelled like a sheep that's been in the sun all day and dissipated pretty quickly/got covered up once I sprayed it with my dog's fragrance/refresh spray. Creased up from the packaging but nothing a little brushing and shaking couldn't fix.
I hope this helped inform you before you purchased.
PS: They did send samples of a "Faux" Fur AND "Real" Fur which I thought was kind of neat but the sample coulda been from an actual good quality real fur compared to what they sent...Who knows?
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 23, 2026
★★★★★ 5
Super soft
Color: Ivory, Size: 2' x 3' (Single Pelt), Color: Ivory, Size: 2' x 3' (Single Pelt)
Very nice quality, this is the perfect size. It is a tiny bit yellow, but still looks really nice. It's lovely to be able to set my feet onto something so soft, especially in the morning.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 21, 2026