How Long to Read Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications

How Long Does it Take to Read Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications?

It takes the average reader 5 hours and 12 minutes to read Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications by Krishan L. Duggal

Assuming a reading speed of 250 words per minute. Learn more

Description

This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. 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 1990, 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. Thus, one fails to use, in the usual way, the theory of non-degenerate submanifolds (cf. Chen [1]) to define the induced geometric objects (such as linear connection, second fundamental form, Gauss and Weingarten equations) on the light like submanifold. Some work is known on null hypersurfaces and degenerate submanifolds (see an up-to-date list of references on pages 138 and 140 respectively). Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of an up-to-date information on null curves, lightlike hypersur faces and submanifolds, consistent with the theory of non-degenerate submanifolds.

How long is Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications?

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications by Krishan L. Duggal is 311 pages long, and a total of 78,061 words.

This makes it 105% the length of the average book. It also has 95% more words than the average book.

How Long Does it Take to Read Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 6 minutes to read Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications aloud.

What Reading Level is Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications?

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications?

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