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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Volume of Vector Fields on Riemannian Manifolds: Main Results and Open Problems

The Volume of Vector Fields on Riemannian Manifolds: Main Results and Open Problems

Gil-Medrano, Olga

Paperback

Series: Lecture Notes in Mathematics, Book 2336

General MathematicsGeometry

ISBN10: 3031368568
ISBN13: 9783031368561
Publisher: Springer Nature
Published: Aug 1 2023
Pages: 126
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English

This book focuses on the study of the volume of vector fields on Riemannian manifolds. Providing a thorough overview of research on vector fields defining minimal submanifolds, and on the existence and characterization of volume minimizers, it includes proofs of the most significant results obtained since the subject's introduction in 1986. Aiming to inspire further research, it also highlights a selection of intriguing open problems, and exhibits some previously unpublished results. The presentation is direct and deviates substantially from the usual approaches found in the literature, requiring a significant revision of definitions, statements, and proofs.

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