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Differential Geometry: Riemannian Geometry
 
Edited by: Robert Greene
S. T. Yau
Differential Geometry: Riemannian Geometry
Hardcover ISBN:  978-0-8218-1496-3
Product Code:  PSPUM/54.3
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9354-8
Product Code:  PSPUM/54.3.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-1496-3
eBook: ISBN:  978-0-8218-9354-8
Product Code:  PSPUM/54.3.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
Differential Geometry: Riemannian Geometry
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Differential Geometry: Riemannian Geometry
Edited by: Robert Greene
S. T. Yau
Hardcover ISBN:  978-0-8218-1496-3
Product Code:  PSPUM/54.3
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9354-8
Product Code:  PSPUM/54.3.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-1496-3
eBook ISBN:  978-0-8218-9354-8
Product Code:  PSPUM/54.3.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 54; 1993; 710 pp
    MSC: Primary 53; 58
    This item is also available as part of a set:
  • Table of Contents
     
     
    • Articles
    • Robert E. Greene — Some concepts and methods in Riemannian geometry [ MR 1216606 ]
    • Kinetsu Abe and Andrew Haas — Isometric immersions of $H^n$ into $H^{n+1}$ [ MR 1216607 ]
    • Stephanie B. Alexander, I. David Berg and Richard L. Bishop — The distance-geometry of Riemannian manifolds with boundary [ MR 1216608 ]
    • Stephanie B. Alexander and Robert J. Currier — Hypersurfaces and nonnegative curvature [ MR 1216609 ]
    • Steven J. Altschuler — Shortening space curves [ MR 1216610 ]
    • Michael T. Anderson — Degeneration of metrics with bounded curvature and applications to critical metrics of Riemannian functionals [ MR 1216611 ]
    • Ara Basmajian — The geometry of totally geodesic hypersurfaces in hyperbolic manifolds [ MR 1216612 ]
    • Robert Brooks, Peter Perry and Peter Petersen, V — Finiteness of diffeomorphism types of isospectral manifolds [ MR 1216613 ]
    • P. Buser, B. Colbois and J. Dodziuk — Small eigenvalues of the Laplacian on negatively curved manifolds [ MR 1216614 ]
    • Richard D. Canary — Geometrically tame hyperbolic $3$-manifolds [ MR 1216615 ]
    • Isaac Chavel and Edgar A. Feldman — Isoperimetric constants and large time heat diffusion in Riemannian manifolds [ MR 1216616 ]
    • Isaac Chavel and Leon Karp — Large time behavior of solutions of the heat equation [ MR 1216617 ]
    • Haiwen Chen — Manifolds with 2-nonnegative curvature operator [ MR 1216618 ]
    • Dennis DeTurck, Herman Gluck, Carolyn Gordon and David Webb — The geometry of isospectral deformations [ MR 1216619 ]
    • Ivko Dimitrić — Quadric representation of a submanifold and spectral geometry [ MR 1216620 ]
    • Harold Donnelly — Embedded eigenvalues for asymptotically flat surfaces [ MR 1216621 ]
    • Patrick Eberlein, Ursula Hamenstädt and Viktor Schroeder — Manifolds of nonpositive curvature [ MR 1216622 ]
    • F. T. Farrell and L. E. Jones — Topological rigidity for compact non-positively curved manifolds [ MR 1216623 ]
    • Kenji Fukaya and Takao Yamaguchi — Almost non-negatively curved manifolds [ MR 1216624 ]
    • Patrick Ghanaat — Local structure of framed manifolds [ MR 1216625 ]
    • Salvador Gigena — Constant affine mean curvature hypersurfaces of decomposable type [ MR 1216626 ]
    • Peter B. Gilkey — Heat equation asymptotics [ MR 1216627 ]
    • R. E. Greene and H. Wu — Non-negatively curved manifolds which are flat outside a compact set [ MR 1216628 ]
    • Detlef Gromoll — Spaces of nonnegative curvature [ MR 1216629 ]
    • Karsten Grove — Critical point theory for distance functions [ MR 1216630 ]
    • David Gurarie — Spectral geometry in higher ranks: closed geodesics and flat tori [ MR 1216631 ]
    • Chong-Kyu Han — Ellipticity of local isometric embeddings [ MR 1216632 ]
    • Joel Hass and Peter Scott — Curve flows on surfaces and intersections of curves [ MR 1216633 ]
    • Nancy Hingston — Curve shortening, equivariant Morse theory, and closed geodesics on the $2$-sphere [ MR 1216634 ]
    • Diane Kalish — Morse theory for geodesics [ MR 1216635 ]
    • Masatake Kuranishi — On some metrics on $S^2 \times S^2$ [ MR 1216636 ]
    • Anders Linnér — Curve-straightening [ MR 1216637 ]
    • Zhong-dong Liu — Ball covering property and nonnegative Ricci curvature outside a compact set [ MR 1216638 ]
    • Christophe M. Margerin — General conjugate loci are not closed [ MR 1216639 ]
    • Yukio Otsu — Collapsing of Riemannian manifolds and their excesses [ MR 1216640 ]
    • Peter Petersen, V — Gromov-Hausdorff convergence of metric spaces [ MR 1216641 ]
    • Ernst A. Ruh — Cartan connections [ MR 1216642 ]
    • Alberto G. Setti — Eigenvalue estimates for the Laplacian with lower order terms on a compact Riemannian manifold [ MR 1216643 ]
    • Ji-Ping Sha and DaGang Yang — Positive Ricci curvature on compact simply connected $4$-manifolds [ MR 1216644 ]
    • Zhong Min Shen and Guofang Wei — Volume growth and finite topological type [ MR 1216645 ]
    • Katsuhiro Shiohama — Recent developments in sphere theorems [ MR 1216646 ]
    • Takashi Shioya — On the excess of open manifolds [ MR 1216647 ]
    • U. Simon and C. P. Wang — Local theory of affine $2$-spheres [ MR 1216648 ]
    • R. J. Spatzier — Riemannian manifolds with completely integrable geodesic flows [ MR 1216649 ]
    • Yoshihiko Suyama — Differentiable structure on spheres and curvature [ MR 1216650 ]
    • Z. I. Szabo — Spectral theory for operator families on Riemannian manifolds [ MR 1216651 ]
    • Philippe Tondeur — Riemannian foliations and tautness [ MR 1216652 ]
    • Johan Tysk — Eigenvalue problems for manifolds with singularities [ MR 1216653 ]
    • Gerard Walschap — Some rigidity aspects of Riemannian fibrations [ MR 1216654 ]
    • Jyh Yang Wu — Hausdorff convergence and sphere theorems [ MR 1216655 ]
    • Robert J. Zimmer — Automorphism groups and fundamental groups of geometric manifolds [ MR 1216656 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Proceedings of Symposia in Pure Mathematics
Volume: 54; 1993; 710 pp
MSC: Primary 53; 58
This item is also available as part of a set:
  • Articles
  • Robert E. Greene — Some concepts and methods in Riemannian geometry [ MR 1216606 ]
  • Kinetsu Abe and Andrew Haas — Isometric immersions of $H^n$ into $H^{n+1}$ [ MR 1216607 ]
  • Stephanie B. Alexander, I. David Berg and Richard L. Bishop — The distance-geometry of Riemannian manifolds with boundary [ MR 1216608 ]
  • Stephanie B. Alexander and Robert J. Currier — Hypersurfaces and nonnegative curvature [ MR 1216609 ]
  • Steven J. Altschuler — Shortening space curves [ MR 1216610 ]
  • Michael T. Anderson — Degeneration of metrics with bounded curvature and applications to critical metrics of Riemannian functionals [ MR 1216611 ]
  • Ara Basmajian — The geometry of totally geodesic hypersurfaces in hyperbolic manifolds [ MR 1216612 ]
  • Robert Brooks, Peter Perry and Peter Petersen, V — Finiteness of diffeomorphism types of isospectral manifolds [ MR 1216613 ]
  • P. Buser, B. Colbois and J. Dodziuk — Small eigenvalues of the Laplacian on negatively curved manifolds [ MR 1216614 ]
  • Richard D. Canary — Geometrically tame hyperbolic $3$-manifolds [ MR 1216615 ]
  • Isaac Chavel and Edgar A. Feldman — Isoperimetric constants and large time heat diffusion in Riemannian manifolds [ MR 1216616 ]
  • Isaac Chavel and Leon Karp — Large time behavior of solutions of the heat equation [ MR 1216617 ]
  • Haiwen Chen — Manifolds with 2-nonnegative curvature operator [ MR 1216618 ]
  • Dennis DeTurck, Herman Gluck, Carolyn Gordon and David Webb — The geometry of isospectral deformations [ MR 1216619 ]
  • Ivko Dimitrić — Quadric representation of a submanifold and spectral geometry [ MR 1216620 ]
  • Harold Donnelly — Embedded eigenvalues for asymptotically flat surfaces [ MR 1216621 ]
  • Patrick Eberlein, Ursula Hamenstädt and Viktor Schroeder — Manifolds of nonpositive curvature [ MR 1216622 ]
  • F. T. Farrell and L. E. Jones — Topological rigidity for compact non-positively curved manifolds [ MR 1216623 ]
  • Kenji Fukaya and Takao Yamaguchi — Almost non-negatively curved manifolds [ MR 1216624 ]
  • Patrick Ghanaat — Local structure of framed manifolds [ MR 1216625 ]
  • Salvador Gigena — Constant affine mean curvature hypersurfaces of decomposable type [ MR 1216626 ]
  • Peter B. Gilkey — Heat equation asymptotics [ MR 1216627 ]
  • R. E. Greene and H. Wu — Non-negatively curved manifolds which are flat outside a compact set [ MR 1216628 ]
  • Detlef Gromoll — Spaces of nonnegative curvature [ MR 1216629 ]
  • Karsten Grove — Critical point theory for distance functions [ MR 1216630 ]
  • David Gurarie — Spectral geometry in higher ranks: closed geodesics and flat tori [ MR 1216631 ]
  • Chong-Kyu Han — Ellipticity of local isometric embeddings [ MR 1216632 ]
  • Joel Hass and Peter Scott — Curve flows on surfaces and intersections of curves [ MR 1216633 ]
  • Nancy Hingston — Curve shortening, equivariant Morse theory, and closed geodesics on the $2$-sphere [ MR 1216634 ]
  • Diane Kalish — Morse theory for geodesics [ MR 1216635 ]
  • Masatake Kuranishi — On some metrics on $S^2 \times S^2$ [ MR 1216636 ]
  • Anders Linnér — Curve-straightening [ MR 1216637 ]
  • Zhong-dong Liu — Ball covering property and nonnegative Ricci curvature outside a compact set [ MR 1216638 ]
  • Christophe M. Margerin — General conjugate loci are not closed [ MR 1216639 ]
  • Yukio Otsu — Collapsing of Riemannian manifolds and their excesses [ MR 1216640 ]
  • Peter Petersen, V — Gromov-Hausdorff convergence of metric spaces [ MR 1216641 ]
  • Ernst A. Ruh — Cartan connections [ MR 1216642 ]
  • Alberto G. Setti — Eigenvalue estimates for the Laplacian with lower order terms on a compact Riemannian manifold [ MR 1216643 ]
  • Ji-Ping Sha and DaGang Yang — Positive Ricci curvature on compact simply connected $4$-manifolds [ MR 1216644 ]
  • Zhong Min Shen and Guofang Wei — Volume growth and finite topological type [ MR 1216645 ]
  • Katsuhiro Shiohama — Recent developments in sphere theorems [ MR 1216646 ]
  • Takashi Shioya — On the excess of open manifolds [ MR 1216647 ]
  • U. Simon and C. P. Wang — Local theory of affine $2$-spheres [ MR 1216648 ]
  • R. J. Spatzier — Riemannian manifolds with completely integrable geodesic flows [ MR 1216649 ]
  • Yoshihiko Suyama — Differentiable structure on spheres and curvature [ MR 1216650 ]
  • Z. I. Szabo — Spectral theory for operator families on Riemannian manifolds [ MR 1216651 ]
  • Philippe Tondeur — Riemannian foliations and tautness [ MR 1216652 ]
  • Johan Tysk — Eigenvalue problems for manifolds with singularities [ MR 1216653 ]
  • Gerard Walschap — Some rigidity aspects of Riemannian fibrations [ MR 1216654 ]
  • Jyh Yang Wu — Hausdorff convergence and sphere theorems [ MR 1216655 ]
  • Robert J. Zimmer — Automorphism groups and fundamental groups of geometric manifolds [ MR 1216656 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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