Open access peer-reviewed Edited Volume

Advances on Tensor Analysis and their Applications

Francisco Bulnes

IINAMEI A. C. (Investigación Internacional Avanzada en Matemáticas e Ingeniería


Curvature Tensors Einstein-Cartan Tensors Metric Tensors Pseudo-tensors Supersymmetry Superalgebras Covariant Theory of Gravitation Gravitational stress-energy tensor Spinors Tensor products of Hilbert spaces Dyads Triads

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About the book

The searching of the generalization of the concepts scalar, vector and matrix, which are independent
of the any elected coordinates systems, bring the concept of a tensor. A tensor is a mathematical entity
born of the invariance idea of the mentioned concepts in any election of coordinate systems and
to any coordinate system transformation. The concept has been of great importance to describe
the invariance of the physics laws respect to any coordinate inertial reference frame where the physics
phenomena are measured. Likewise, the gravitation theory is an example of the importance of
describing the physics laws of the Universe through their invariants. Theories like general and special
relativity, bring the appearing of diverse Einstein summation laws and other properties used from
the Levi-Civita calculus contributing to the appearing of the special tensors inside the Riemannian
structure which best describes the Universe phenomena and their relations. Such is the case as the
Riemann tensors, the Pseudo-tensors and the different curvature tensors type arise from theories on
the torsion field, the Cartan-Einstein theories or the supersymmetries in quantum mechanics.

A focus more mathematical of the tensor is considering the multilinear forms and the tensor product of
the vector spaces, where have more relevance to the applications the tensor product of Hilbert spaces,
for example in QED and quantum mechanics. Applications in classical mechanics, electrodynamics,
quantum mechanics and communication theory are well developed through tensors,wherein quantum
communication theory and the parallel geometries to the Riemannian geometry, as twistor geometry
are considered the spinors and twistors as new re-interpretations of the tensors in fields and waves.

Publishing process

Book initiated and editor appointed

Date completed: October 3rd 2019

Applications to edit the book are assessed and a suitable editor is selected, at which point the process begins.

Chapter proposals submitted and reviewed

Deadline for chapter proposals: October 24th 2019

Potential authors submit chapter proposals ready for review by the academic editor and our publishing review team.

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Approved chapters written in full and submitted

Deadline for full chapters: December 23rd 2019

Once approved by the academic editor and publishing review team, chapters are written and submitted according to pre-agreed parameters

Full chapters peer reviewed

Review results due: March 12th 2020

Full chapter manuscripts are screened for plagiarism and undergo a Main Editor Peer Review. Results are sent to authors within 30 days of submission, with suggestions for rounds of revisions.

Book compiled, published and promoted

Expected publication date: May 11th 2020

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About the editor

Francisco Bulnes

IINAMEI A. C. (Investigación Internacional Avanzada en Matemáticas e Ingeniería

Dr. Francisco Bulnes received his Ph.D. in Mathematical Sciences from IM/UNAM, 2004. He is the Director of International Advanced Research in Mathematics and Engineering Centre in Mexico (IINAMEI), 2015-Actually. Editor-in-Chief of two Journals of Mathematics, one of USA, and others in India. Dr. Bulnes is a Member of various international committees of science, reviewer of British journals of mathematics and physics indexed in SCOPUS. Dr. Bulnes is Head of Research Department, TESCHA, 2009-. He has written numerous papers (more than 100) or articles in mathematics and physics research journals, and he is the author of more than twenty books (math monographs and specialized book chapters in theoretical physics and advanced electronics research). Dr. Bulnes is recognized and famous in East Europe, Asia, Arab continents. He has many theories, theorems, Math Objects with his name. He has received various Doctor Honoris Causa by universities and NGO’s, likewise, GO’s. His Biography has been included in the GMW book, published in the IBC, Cambridge, UK. Dr. Bulnes is also a distinguished member (JCFM) of the Czech Republic Mathematics Society. He obtained two Post-doctorates in Cuba and Russia in mathematics.

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Book chapters authored 6

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