Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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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
Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B)

Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B)

Barletta, Elisabetta
Dragomir, Sorin
Shahid, Mohammad Hasan

Hardcover

General MathematicsGeometry

ISBN10: 9819616301
ISBN13: 9789819616305
Publisher: Springer
Published: Apr 23 2025
Pages: 591
Weight: 2.26
Height: 1.31 Width: 6.14 Depth: 9.21
Language: English

This book, Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B), is the second in a captivating series of four books presenting a choice of topics, among fundamental and more advanced in differential geometry (DG). Starting with the basics of semi-Riemannian geometry, the book aims to develop the understanding of smooth 1-parameter variations of geodesics of, and correspondingly of, Jacobi fields. A few algebraic aspects required by the treatment of the Riemann-Christoffel four-tensor and sectional curvature are successively presented. Ricci curvature and Einstein manifolds are briefly discussed. The Sasaki metric on the total space of the tangent bundle over a Riemannian manifold is built, and its main properties are investigated. An important integration technique on a Riemannian manifold, related to the geometry of geodesics, is presented for further applications. The other three books of the series are

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