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  • Skickas inom vardagar. This book is about the light like degenerate geometry of submanifolds needed to fill a gap in the general theory of submanifolds.

    # (Degenerate Metric and Degenerate Metric Manifold) – Sage

    The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, in , to do collaborative research on the subject matter of this book. Based on a series of author's papers Bejancu [3], Bejancu-Duggal [1,3], Dug- gal [13], Duggal-Bejancu [1,2,3] and several other researchers, this volume was conceived and developed during the Fall '91 and Fall '94 visits of Bejancu to the University of Windsor, Canada.

    The primary difference between the lightlike submanifold and that of its non- degenerate counterpart arises due to the fact that in the first case, the normal vector bundle intersects with the tangent bundle of the submanifold. This self-contained monograph provides up-to-date research in lightlike geometry and is intended for graduate students and researchers just entering this field.

    Since the second half of the 20th century, the Riemannian and semi-Riemannian geometries have been active areas of research in di? A recent survey in Marcel Berger's book [60] includes the major developments of Riemannian ge- etry since , citing the works of di?

    Differential Geometry of Lightlike Submanifolds (Frontiers in Mathematics)

    During the mid s, the interest shifted towards Lorentzian geometry, the mathematical theory used in general relativity. Since then there has been an amazing leap in the depth of the connection between modern di?

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    Toyama Univ. Duggal, D. Duggal, B. Sahin, Screen conformal half-lightlike submainfolds, Int. Jin, Einstein half lightlike submanifold with a Killing co-screen distribution, Honam Math.

    Jin, Special half lightlike submanifolds of an indefinite cosymplectic manifolds, J. Function Spaces Appl. Volume , Article ID , 16 pages.

    Introduction to Differential Geometry: Curves