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  1. Bog
  2. Geometri
  3. Differential- og Riemannsk geometri

Introduction to Differential Geometry

Af: Joel W. Robbin, Dietmar A. Salamon Engelsk Paperback

Introduction to Differential Geometry

Af: Joel W. Robbin, Dietmar A. Salamon Engelsk Paperback
Tjek vores konkurrenters priser
This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point.

The first chapters give a historical overview of the field and contain an introduction to basic concepts such as manifolds and smooth maps, vector fields and flows, and Lie groups, leading up to the theorem of Frobenius. Subsequent chapters deal with the Levi-Civita connection, geodesics, the Riemann curvature tensor, a proof of the Cartan-Ambrose-Hicks theorem, as well as applications to flat spaces, symmetric spaces, and constant curvature manifolds. Also included are sections about manifolds with nonpositive sectional curvature, the Ricci tensor, the scalar curvature, and the Weyl tensor.

An additional chapter goes beyond the scope of a one semester lecture course and deals with subjects such as conjugate points and the Morse index, the injectivity radius, the group of isometries and the Myers-Steenrod theorem, and Donaldson''s differential geometric approach to Lie algebra theory.

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Tjek vores konkurrenters priser
Normalpris
kr 573
Fragt: 39 kr
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20 kr
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God 4 anmeldelser på
Tjek vores konkurrenters priser
This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point.

The first chapters give a historical overview of the field and contain an introduction to basic concepts such as manifolds and smooth maps, vector fields and flows, and Lie groups, leading up to the theorem of Frobenius. Subsequent chapters deal with the Levi-Civita connection, geodesics, the Riemann curvature tensor, a proof of the Cartan-Ambrose-Hicks theorem, as well as applications to flat spaces, symmetric spaces, and constant curvature manifolds. Also included are sections about manifolds with nonpositive sectional curvature, the Ricci tensor, the scalar curvature, and the Weyl tensor.

An additional chapter goes beyond the scope of a one semester lecture course and deals with subjects such as conjugate points and the Morse index, the injectivity radius, the group of isometries and the Myers-Steenrod theorem, and Donaldson''s differential geometric approach to Lie algebra theory.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 418
ISBN-13: 9783662643396
Indbinding: Paperback
Udgave:
ISBN-10: 3662643391
Kategori: Differential- og Riemannsk geometri
Udg. Dato: 13 jan 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Fachmedien Wiesbaden
Oplagsdato: 13 jan 2022
Forfatter(e): Joel W. Robbin, Dietmar A. Salamon
Forfatter(e) Joel W. Robbin, Dietmar A. Salamon

Kategori Differential- og Riemannsk geometri

ISBN-13 9783662643396

Sprog Engelsk

Indbinding Paperback

Sider 418

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 13 jan 2022

Oplagsdato 13 jan 2022

Forlag Springer Fachmedien Wiesbaden

Kategori sammenhænge