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Description
Lect Geometry Manifold (3rd Ed)The goal of this book is to introduce the reader to some of the main techniques, ideas and concepts frequently used in modern geometry. It starts from scratch and it covers basic topics such as differential and integral calculus on manifolds, connections on vector bundles and their curvatures, basic Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (tube and Crofton formulas), characteristic classes, elliptic equations
The goal of this book is to introduce the reader to some of the main techniques, ideas and concepts frequently used in modern geometry. It starts from scratch and it covers basic topics such as differential and integral calculus on manifolds, connections on vector bundles and their curvatures, basic Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (tube and Crofton formulas), characteristic classes, elliptic equations on manifolds and Dirac operators. The new edition contains a new chapter on spectral geometry presenting recent results which appear here for the first time in printed form.
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4.6 ★★★★★
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Product Reviews
★★★★★ 5
Dog loves these. Have bought for over 10 yrs.
Dog loves these. Medium size is perfect for her. She gets them when we leave her for extended time. Reasonably priced.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on November 5, 2025
★★★★★ 5
A Safer, Delicious Alternative to Rawhide
Flavor Name: Chicken, Size: 9.7 Ounce (Pack of 1)
If you are looking for a safer alternative to traditional rawhide, the DreamBone Twist Sticks are a fantastic choice. These chews offer all the engagement of a classic chew but are 100% rawhide-free, making them much easier for dogs to digest while still being highly satisfying.
The taste is clearly a winner, as they are made with real chicken and wholesome vegetables. Dogs find the flavor irresistible, and the unique twist shape adds an extra layer of fun to their treat time. They don't smell bad as I am removing them from the package. (PLUS FOR ME) I buy these often for my pups, a Milky and Silky, and they can chew them easily without any digestive issues. The treats come out of the package soft and not dry. They are definitely durable enough for my two small pups, but they break up easily with their little mouths.
Why these chews are a great addition to your pet's routine:
Dental Health Support: The natural action of chewing helps maintain healthy teeth and gums by reducing plaque and tartar buildup.
Nutrient-Rich: These treats are enriched with vitamins and minerals, providing extra nutrition alongside a "scrumptious" taste.
Wholesome Ingredients: By combining real meat with vegetables, these provide a high-value reward without the risks associated with rawhide.
Highly Digestible: Because they are rawhide-free, they are gentle on the stomach and perfect for everyday treats.
These are a practical, healthy, and delicious way to reward your dog while supporting their overall hygiene.
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Reviewed in the United States on January 24, 2026
★★★★★ 5
Dogs love Them
Flavor Name: Chicken, Size: 12.3 Ounce (Pack of 1)
DreamBone Twist Sticks are a wonderful treat option for dog owners seeking a healthy and enjoyable chew for their pets. These sticks are wrapped with real chicken, which not only adds a delicious flavor that dogs love but also provides a natural source of protein. What makes them stand out is that they are rawhide-free, offering a safer alternative to traditional rawhide chews that can sometimes cause digestive issues.
Each package contains 50 sticks, making it great value for those who want to keep their dogs entertained and satisfied over time. The texture of the chew is firm enough to help promote dental health by gently cleaning teeth and massaging gums as dogs chew. Many pet owners appreciate that these treats are made with quality ingredients and without unnecessary fillers.
Overall, DreamBone Twist Sticks are an excellent choice for dogs of various sizes and ages who enjoy chewing. They combine taste, safety, and dental benefits in one package. If you’re looking for a reliable, tasty, and rawhide-free chew treat, these sticks are definitely worth trying to keep your furry friend happy and healthy.
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Reviewed in the United States on January 19, 2026
★★★★★ 5
They are highly preferred by our pet!
Flavor Name: Chicken, Size: 9.7 Ounce (Pack of 1)
Our dog absolutely dream bone twist sticks! They have a very pleasant scent and are the perfect softness. He gets one in the morning with a few other small treats and always saves this for last we think it’s because it’s the favorite. This is not made of rawhide in therefore highly digestible. Perfect size for a medium to small dog; would not recommend for a larger dogs due to choking. You can, however, get larger bones in the same brand. With 50 in a bag, you can purchase them less often. They are highly preferred by our pet.
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Reviewed in the United States on April 3, 2026
★★★★★ 5
Great For Puppy to Elderly Dogs
Flavor Name: Chicken, Size: 9.7 Ounce (Pack of 1)
All 3 of our dogs love this treat, We like that the treats are free of rawhide. They are soft enough for even our 15 year old dog to enjoy. The treats can easily be cut into pieces to use as training treats or to hide in dog puzzle toys. With 50 sticks per bag, we don't run out of them too soon.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 29, 2026
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