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Description
Prob & Sol in Diff Geom, Lie Series, Differ Forms, Relativ: Lie SeriesThis volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy to digest manner, with the materials of the volume being self contained. In particular, curves, surfaces, Riemannian and pseudo Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix valued differential forms, Maurer Cartan form, and the
This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer-Cartan form, and the Lie derivative are covered.
Readers will find useful applications to special and general relativity, Yang-Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.
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4.0 ★★★★★
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Product Reviews
★★★★★ 1
Disgusted!
Size: Small, Color: Black
I’m disgusted! I ordered this for my boyfriend to wear to prom. I ordered him a small and the jacket and the vest were not smalls, they look like they were a large. All three pieces had dog or cat hair on them and the jacket had dirt stains on the inside. They were all used! And some of the stitching was coming out! I’m so glad I received it the same day I bought it, because if received it closer to prom I would have been so screwed!!! Do not buy this or buy from this brand! Terrible product!!
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Reviewed in the United States on April 10, 2026
★★★★★ 5
Dress to Impress: Sharp, Tailored Fit, Quality Material, and Sizing Tips
Size: X-Small, Color: Navy Blue, Size: X-Small, Color: Navy Blue
This review is for the LUPURTY Men's Suits Slim Fit, 3 Piece Suits for Men, 2 Buttons Solid Jacket Vest Pants, Tuxedo Set (XS navy blue and black sets).
I bought the XS knowing my son's measurements were actually below the size guide for that size, but I'm glad I did because it still worked out. The suit was a bit big—especially in the pants, which were quite long, and slightly roomy in the shoulders and arms—but it still looked sharp and well put-together. The overall fit has a clean, tailored appearance despite the extra room. The material feels high-quality and the color is true to what’s shown online. I do wish the black suit came with a black or gray tie instead of blue, which didn’t quite match.
The suit in the photos is the navy blue set that my son wore to his 8th grade graduation, which matched their school colors perfectly.
I also included my son’s measurements to help others with sizing:
Weight 114 lbs
Height 5'3"
Chest 30.5"
Waist 29"
Hip 35"
Sleeve length 21.5"
Shoulder 17"
Inseam 29"
Back length 18.5"
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Reviewed in the United States on July 9, 2025
★★★★★ 5
Class without the price
Size: Large, Color: Burgundy
After purchasing many of the suit offerings on Amazon, Luperty's suit are the best for the price. The adjustable pants makes for a smooth fitting experience, and allow you to breathe when you've clearly eaten to much. The pant length is ideal for a classic suit appearance. If you want a more modern fit you'll have to get them hemmed higher. The vest is form fitting, which is to say not as forgiving as the pants, but will definitely cut a sharper figure. The jacket fits well off the rack for me, albeit the sleeves could be pulled in a bit. I ordered a Large size, which all the pieces fit well for a 5'11", sub 200 lb man. I wouldn't say I'm very in shape, so your milage may very.
After buying my first suit from Luperty, I was so impressed that I purchased the rest of the colors as well. My only complaint is that I wish the sleeve lining was more interesting. They all use the same generic white striped fabric. I would have liked to see more variation for each of the different colors.
As I have bought all the colors, even the cream color which they no longer offer, I think I can give some insight on which ones work best.
1. Burgundy - This is the best looking one. It's a statement to wear this color of suit. This suit is bold but refined, like a smooth wine. I've gotten the most compliments with this color than any other. It's eye catching and sharp, and you'll feel classy in it. I've actually bought two of these.
2. Dark Grey - This suit is the one you wear to an important board meeting. It's a beautiful charcoal that has a nice sheen to it. A timeless appearance that shows class but muted enough to not take center stage.
3. Cream - Another bold suit, maybe too bold seeing as how they no longer sell it. This suit defines the Miami Vice mafioso look, and it pulls it off nicely. Pairs extremely well with bright pastels. Don't forget to lose the tie and unbutton at least two of the top buttons to get the full effect.
4. Navy Blue - This one's name does it a disservice. The blue is almost at Royal Blue level. The color is definitely striking and can be elevated easily. You might be able to pull this off in a professional setting as well as blue is seen as a more business oriented color, though I believe this is just slightly over the top. However, I like over the top.
5. Light Grey - This one is very light. You wear this one to the same things as the dark grey one, but want to show a bit more character. It strikes me as more of a European color, and maybe that makes it feel more sophisticated. Wearing it with a pocket watch is optional but recommended.
6. Black - This is where we start to decline in color quality. I knows it's black, but I'd like to have seen some more texture, similar to the dark grey. Hopefully you don't have to wear it much given the negative context.
7. Dark Navy - I think I like this one better than the black one, however this one is DARK. I often have to put it right next to my black one to differentiate them, it's that dark. In various lighting you can tell people its a black suit and no one would refute you. Because of this reason I think it's worse than the black. But it makes for the perfect bog standard suit to wear into the office if you need it to.
All of these suits are under $100, and often go on sale for less. I cannot recommend them enough for first time suit buyers.
As always, remember to open up the vents in the back that are sewn shut, as well as the pockets. As lucky as I am to be able to have these fit almost perfectly, the last step in any suit journey is to have them tailored to you. It might cost as much as this suit, but a $1000 suit off the rack will have nothing on a $100 suit that's been tailored.
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Reviewed in the United States on June 2, 2025
★★★★★ 5
Premium Quality at an Affordable Price
Size: Large, Color: Dark Navy, Size: Large, Color: Dark Navy
I recently purchased this men’s suit and was genuinely impressed with the quality and fit. The fabric feels premium, comfortable, and well-stitched, giving it a classy and elegant look. The fitting was true to size. The color and design matched the pictures exactly. Highly recommended for anyone looking for a stylish and affordable suit.
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Reviewed in the United States on May 9, 2026
★★★★★ 5
Great quality for the price.
Size: Large, Color: Black
All I have to say about this suit is WOW! I lost a good chunk of weight and needed a new suit for an event. Given the price I gave this a shot, and I am really impressed with the quality for the cost. The size is perfect, and the pants are comfortable with an internal elastic that looks and feels nice. The design makes it so the pants don’t slip down with nylon and silk shirts. Looks just as good (if not better) than suits in the $300 price range. I can’t speak for the other colors, but the black suit is exactly what I needed. Let’s see how long the suit lasts!
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Reviewed in the United States on April 11, 2026