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Comparison Finsler Geometry - 9783030806491
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Características del artículo
- Estado
- Book Title
- Comparison Finsler Geometry
- ISBN
- 9783030806491
- Publication Name
- Comparison Finsler Geometry
- Publisher
- Springer Nature Switzerland A&G
- Subject
- Mathematics
- Publication Year
- 2021
- Series
- Springer Monographs in Mathematics
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 235 mm
- Item Weight
- 676 g
- Item Width
- 155 mm
- Number of Pages
- 316 Pages
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Product Information
This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds. Generalizing the weighted Ricci curvature into the Finsler setting, the author systematically derives the fundamental geometric and analytic inequalities in the Finsler context. Relying only upon knowledge of differentiable manifolds, this treatment offers an accessible entry point to Finsler geometry for readers new to the area. Divided into three parts, the book begins by establishing the fundamentals of Finsler geometry, including Jacobi fields and curvature tensors, variation formulas for arc length, and some classical comparison theorems. Part II goes on to introduce the weighted Ricci curvature, nonlinear Laplacian, and nonlinear heat flow on Finsler manifolds. These tools allow the derivation of the Bochner-Weitzenboeck formula and the corresponding Bochner inequality, gradient estimates, Bakry-Ledoux's Gaussian isoperimetric inequality, and functional inequalities in the Finsler setting. Part III comprises advanced topics: a generalization of the classical Cheeger-Gromoll splitting theorem, the curvature-dimension condition, and the needle decomposition. Throughout, geometric descriptions illuminate the intuition behind the results, while exercises provide opportunities for active engagement. Comparison Finsler Geometry offers an ideal gateway to the study of Finsler manifolds for graduate students and researchers. Knowledge of differentiable manifold theory is assumed, along with the fundamentals of functional analysis. Familiarity with Riemannian geometry is not required, though readers with a background in the area will find their insights are readily transferrable.
Product Identifiers
Publisher
Springer Nature Switzerland A&G
ISBN-13
9783030806491
eBay Product ID (ePID)
17049044766
Product Key Features
Number of Pages
316 Pages
Language
English
Publication Name
Comparison Finsler Geometry
Publication Year
2021
Subject
Mathematics
Type
Textbook
Series
Springer Monographs in Mathematics
Format
Hardcover
Dimensions
Item Height
235 mm
Item Weight
676 g
Item Width
155 mm
Additional Product Features
Country/Region of Manufacture
Switzerland
Descripción del artículo del vendedor
Información de vendedor profesional
BOOKS ETC LIMITED
Andy Smith
Books Etc, Unit 4
Eastern Road
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Hampshire
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United Kingdom
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- -***o (129)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaExcellent, as always with books-etc. Exactly as described, good packaging in sturdy cardboard, which is very important to me. I don't like flimsy paper/polythene envelopes. Perfect condition book at a great price. It usually takes about a week to receive an item, but with free postage so what?! There's a reason I keep coming back to them - they are a top seller. Thank you.
- o***n (2847)- Votos emitidos por el comprador.Últimos 6 mesesCompra verificadaAn excellent book at a great price. It was my first purchase from this seller and i was expecting a service similar to others on eBay. However it took a long time to be despatched and to reach me. The original order was placed on 6 June. It was not despatched until 11 June and finally it arrived 14 June. I may not use this seller in the future if i want an item in a few days but i cannot fault them on the quality of the item - as described - so ultimately i am happy and have learned a lesson,Shiva's Hologram - 9781803413341 (#355083215954)
- f***f (426)- Votos emitidos por el comprador.Mes pasadoCompra verificadaVery reasonable price for an impressive hardcover volume, in new condition, which is getting fairly scarce. Packaged very securely, posted quickly and arrived in perfect condition. Fast, friendly and helpful communication as well. (The first copy I ordered got 'lost' at the Global Shipping Centre - even with a tracking number. I was sent a full refund, without any questions - and used that to order this copy, which arrived without any hassles). All good!