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Recent Advances in Riemannian and Lorentzian Geometries
 
Edited by: Krishan L. Duggal University of Windsor, Windsor, ON, Canada
Ramesh Sharma University of New Haven, West Haven, CT
Front Cover for Recent Advances in Riemannian and Lorentzian Geometries
Available Formats:
Softcover ISBN: 978-0-8218-3379-7
Product Code: CONM/337
List Price: $74.00
MAA Member Price: $66.60
AMS Member Price: $59.20
Electronic ISBN: 978-0-8218-7927-6
Product Code: CONM/337.E
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $111.00
MAA Member Price: $99.90
AMS Member Price: $88.80
Front Cover for Recent Advances in Riemannian and Lorentzian Geometries
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  • Front Cover for Recent Advances in Riemannian and Lorentzian Geometries
  • Back Cover for Recent Advances in Riemannian and Lorentzian Geometries
Recent Advances in Riemannian and Lorentzian Geometries
Edited by: Krishan L. Duggal University of Windsor, Windsor, ON, Canada
Ramesh Sharma University of New Haven, West Haven, CT
Available Formats:
Softcover ISBN:  978-0-8218-3379-7
Product Code:  CONM/337
List Price: $74.00
MAA Member Price: $66.60
AMS Member Price: $59.20
Electronic ISBN:  978-0-8218-7927-6
Product Code:  CONM/337.E
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $111.00
MAA Member Price: $99.90
AMS Member Price: $88.80
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3372003; 202 pp
    MSC: Primary 53; 83; Secondary 22; 35;

    This volume covers material presented by invited speakers at the AMS special session on Riemannian and Lorentzian geometries held at the annual Joint Mathematics Meetings in Baltimore. Topics covered include classification of curvature-related operators, curvature-homogeneous Einstein 4-manifolds, linear stability/instability singularity and hyperbolic operators of spacetimes, spectral geometry of holomorphic manifolds, cut loci of nilpotent Lie groups, conformal geometry of almost Hermitian manifolds, and also submanifolds of complex and contact spaces.

    This volume can serve as a good reference source and provide indications for further research. It is suitable for graduate students and research mathematicians interested in differential geometry.

    Readership

    Graduate students and research mathematicians interested in differential geometry.

  • Table of Contents
     
     
    • Articles
    • Kinetsu Abe, Dimitar Grantcharov and Gueo Grantcharov - On some complex manifolds with torus symmetry [ MR 2040464 ]
    • Michael J. S. L. Ashley and Susan M. Scott - Curvature singularities and abstract boundary singularity theorems for space-time [ MR 2040465 ]
    • Andrzej Derdzinski - Curvature-homogeneous indefinite Einstein metrics in dimension four: the diagonalizable case [ MR 2040466 ]
    • Paul E. Ehrlich, Yoon-Tae Jung, Jeong-Sik Kim and Seon-Bu Kim - Jacobians and volume comparison for Lorentzian warped products [ MR 2040467 ]
    • B. Fiedler and P. Gilkey - Nilpotent Szabó, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds [ MR 2040468 ]
    • Peter B. Gilkey, Raina Ivanova and Iva Stavrov - Jordan Szabó algebraic covariant derivative curvature tensors [ MR 2040469 ]
    • Adam D. Helfer - Differential topology, differential geometry, and hyperbolic operators [ MR 2040470 ]
    • Changrim Jang and Phillip E. Parker - Examples of conjugate loci of pseudoriemannian 2-step nilpotent Lie groups with nondegenerate center [ MR 2040471 ]
    • Raymond G. McLenaghan, Roman G. Smirnov and Dennis The - Group invariant classification of orthogonal coordinate webs [ MR 2040472 ]
    • JeongHyeong Park - Spectral geometry and the Kaehler condition for Hermitian manifolds with boundary [ MR 2040473 ]
    • Philippe Rukimbira - Energy, volume and deformation of contact metrics [ MR 2040474 ]
    • Ramesh Sharma - Holomorphically planar conformal vector fields on almost Hermitian manifolds [ MR 2040475 ]
    • Bogdan D. Suceavă - Fundamental inequalities and strongly minimal submanifolds [ MR 2040476 ]
    • Masayuki Tanimoto - Linear perturbations of spatially locally homogeneous spacetimes [ MR 2040477 ]
    • Mukut Mani Tripathi - Certain basic inequalities for submanifolds in $(\kappa ,\mu )$-spaces [ MR 2040478 ]
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Volume: 3372003; 202 pp
MSC: Primary 53; 83; Secondary 22; 35;

This volume covers material presented by invited speakers at the AMS special session on Riemannian and Lorentzian geometries held at the annual Joint Mathematics Meetings in Baltimore. Topics covered include classification of curvature-related operators, curvature-homogeneous Einstein 4-manifolds, linear stability/instability singularity and hyperbolic operators of spacetimes, spectral geometry of holomorphic manifolds, cut loci of nilpotent Lie groups, conformal geometry of almost Hermitian manifolds, and also submanifolds of complex and contact spaces.

This volume can serve as a good reference source and provide indications for further research. It is suitable for graduate students and research mathematicians interested in differential geometry.

Readership

Graduate students and research mathematicians interested in differential geometry.

  • Articles
  • Kinetsu Abe, Dimitar Grantcharov and Gueo Grantcharov - On some complex manifolds with torus symmetry [ MR 2040464 ]
  • Michael J. S. L. Ashley and Susan M. Scott - Curvature singularities and abstract boundary singularity theorems for space-time [ MR 2040465 ]
  • Andrzej Derdzinski - Curvature-homogeneous indefinite Einstein metrics in dimension four: the diagonalizable case [ MR 2040466 ]
  • Paul E. Ehrlich, Yoon-Tae Jung, Jeong-Sik Kim and Seon-Bu Kim - Jacobians and volume comparison for Lorentzian warped products [ MR 2040467 ]
  • B. Fiedler and P. Gilkey - Nilpotent Szabó, Osserman and Ivanov-Petrova pseudo-Riemannian manifolds [ MR 2040468 ]
  • Peter B. Gilkey, Raina Ivanova and Iva Stavrov - Jordan Szabó algebraic covariant derivative curvature tensors [ MR 2040469 ]
  • Adam D. Helfer - Differential topology, differential geometry, and hyperbolic operators [ MR 2040470 ]
  • Changrim Jang and Phillip E. Parker - Examples of conjugate loci of pseudoriemannian 2-step nilpotent Lie groups with nondegenerate center [ MR 2040471 ]
  • Raymond G. McLenaghan, Roman G. Smirnov and Dennis The - Group invariant classification of orthogonal coordinate webs [ MR 2040472 ]
  • JeongHyeong Park - Spectral geometry and the Kaehler condition for Hermitian manifolds with boundary [ MR 2040473 ]
  • Philippe Rukimbira - Energy, volume and deformation of contact metrics [ MR 2040474 ]
  • Ramesh Sharma - Holomorphically planar conformal vector fields on almost Hermitian manifolds [ MR 2040475 ]
  • Bogdan D. Suceavă - Fundamental inequalities and strongly minimal submanifolds [ MR 2040476 ]
  • Masayuki Tanimoto - Linear perturbations of spatially locally homogeneous spacetimes [ MR 2040477 ]
  • Mukut Mani Tripathi - Certain basic inequalities for submanifolds in $(\kappa ,\mu )$-spaces [ MR 2040478 ]
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