Riemannian geometry

Killing tensor

In mathematics, a Killing tensor or Killing tensor field is a generalization of a Killing vector, for symmetric tensor fields instead of just vector fields. It is a concept in pseudo-Riemannian geometry, and is mainly used in the theory of general relativity. Killing tensors satisfy an equation similar to Killing's equation for Killing vectors. Like Killing vectors, every Killing tensor corresponds to a quantity which is conserved along geodesics. However, unlike Killing vectors, which are associated with symmetries (isometries) of a manifold, Killing tensors generally lack such a direct geometric interpretation. Killing tensors are named after Wilhelm Killing. (Wikipedia).

Video thumbnail

Official Trailer | Killing Reagan

Based on the best-selling book, KILLING REAGAN charts the events that led to one moment of national terror, and the unexpected imprints it made on history. KILLING REAGAN, a Global Television Movie Event, premieres Sunday October 16 at 8/7c. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Wat

From playlist Killing Reagan | National Geographic

Video thumbnail

Kill Paris - The Love We Shared

More Kill Paris awesomeness! Kill Paris: http://soundcloud.com/killparis https://www.facebook.com/killparis https://twitter.com/KillParis Picture: If anyone knows who created this please link me.

From playlist "Thank me later" Music [Electronic]

Video thumbnail

The Making of the Killing Kennedy Trailer | Killing Kennedy

Step onto the set with the crew and actors that made the innovative Killing Kennedy trailer. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure. Through their world-class sci

From playlist Killing Kennedy | National Geographic

Video thumbnail

Killing Fields | Premieres Tue Jan 5 10/9c

There are isolated places in America that appear untouched by anyone. But underneath the surface, these beautiful landscapes reveal a much more sinister reality - a dumping ground for bodies and a home to countless unsolved murders. KILLING FIELDS takes viewers inside an active criminal in

From playlist Killing Fields

Video thumbnail

Where It All Started | Killing Fields

Catch the season finale of KILLING FIELDS Tuesday 10/9c on Discovery. | http://www.discovery.com/tv-shows/killing-fields/ Don't miss new episodes of KILLING FIELDS Tuesdays at 10/9c on Discovery: http://www.discovery.com/tv-shows/killing-fields/ Miss the first two episodes of KILLING FIE

From playlist Killing Fields

Video thumbnail

Killing Kennedy | National Geographic

National Geographic Channel chronicles the buildup to one of America's most shocking events: the assassination of President John F. Kennedy by Lee Harvey Oswald. Starring Rob Lowe (President Kennedy), Will Rothhaar (Oswald), with Michelle Trachtenberg (Marina Oswald), and Ginnifer Goodwin

From playlist Killing Kennedy | National Geographic

Video thumbnail

4 Diseases That Used to be Death Sentences | What the Stuff?!

The diagnosis of one of these diseases used to be a death sentence. Learn how modern medicine is working to defeat the microscopic invaders that used to kill millions. 10 Diseases That Used to be Death Sentences: http://health.howstuffworks.com/diseases-conditions/infectious/10-diseases-w

From playlist Stuff That Can Kill You

Video thumbnail

Killing Kennedy: Behind the Scenes | Killing Kennedy

Go behind the scenes with the actors and crew of the National Geographic global movie event, Killing Kennedy. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure. Through thei

From playlist Killing Kennedy | National Geographic

Video thumbnail

Will Rothhaar on Playing Oswald | Killing Kennedy

Will Rothhaar is building a more humanist portrait of a vilified figure. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National Geographic is the world's premium destination for science, exploration, and adventure. Through their world-class scientists, photograph

From playlist Killing Kennedy | National Geographic

Video thumbnail

Thomas Backdahl - Symmetry operators, conserved currents and energy momentum tensors

Conserved quantities, for example energy and momentum, play a fundamental role in the analysis of dynamics of particles and fields. For field equations, one manifestation of conserved quantities in a broad sense is the existence of symmetry operators, i.e. linear differential operators whi

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

Video thumbnail

Self-force and radiation reaction in general relativity by Adam Pound ( Lecture 2 )

PROGRAM SUMMER SCHOOL ON GRAVITATIONAL WAVE ASTRONOMY ORGANIZERS : Parameswaran Ajith, K. G. Arun and Bala R. Iyer DATE : 15 July 2019 to 26 July 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore This school is part of the annual ICTS summer schools on gravitational-wave (GW) astronomy.

From playlist Summer School on Gravitational Wave Astronomy -2019

Video thumbnail

Local Talk: "Separation of Variables", Jonathan Kress

SMRI -MATRIX Symposium: Nijenhuis Geometry and Integrable Systems Week 2 (MATRIX): Local Talk by Jonathan Kress 15 February 2022 ---------------------------------------------------------------------------------------------------------------------- SMRI-MATRIX Joint Symposium, 7 – 18 Febr

From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry and integrable systems

Video thumbnail

Lars Andersson - Geometry and analysis in black hole spacetimes (Part 1)

Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

Video thumbnail

Lars Andersson - Symmetry operators and energies

In this talk we address some issues concerning the wave propagation in the 4D+1 anti­‐de Sitter space­‐time : the role of the conformal boundary, the representation of the fields in term of Kaluza­‐Klein tower, the existence of new dynamics associated with a family of novel boundary condit

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

Video thumbnail

Pieter Blue - Decay for fields outside black holes

I will discuss energy and Morawetz (or integrated local decay) estimates for fields outside black holes. These results build on results for the wave equation and use the Killing tensor, an unusual geometric object that exists in the Kerr spacetime.

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

Video thumbnail

8. Lie transport, Killing vectors, tensor densities.

MIT 8.962 General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629n_3fX7HmKKgin_rqGzbx Discussion of a second notion of transport, 'Lie' transport, and the associa

From playlist MIT 8.962 General Relativity, Spring 2020

Video thumbnail

Gieri Simonett: On the Navier-Stokes equations on surfaces

HYBRID EVENT Recorded during the meeting "Non-linear PDEs in Fluid Dynamics " the May 09, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovi

From playlist Jean-Morlet Chair - Hieber/Monniaux

Video thumbnail

10. Spacetime curvature.

MIT 8.962 General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629n_3fX7HmKKgin_rqGzbx How a certain spacetime duplicates the kinematics of Newtonian gravity for s

From playlist MIT 8.962 General Relativity, Spring 2020

Video thumbnail

The Reagans: A Love Story | Killing Reagan

On the set of Killing Reagan, cast and crew members discuss their efforts to portray the intense bond between Nancy and Ronald Reagan. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Watch all clips of Killing Reagan here: http://bit.ly/WatchKillingReagan ➡ Get More Killing Reagan: http://b

From playlist Newest Clips | National Geographic

Video thumbnail

9. Geodesics.

MIT 8.962 General Relativity, Spring 2020 Instructor: Scott Hughes View the complete course: https://ocw.mit.edu/8-962S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP629n_3fX7HmKKgin_rqGzbx The kinematics of bodies in spacetime.  Free fall described by geodesics: tr

From playlist MIT 8.962 General Relativity, Spring 2020

Related pages

Friedmann–Lemaître–Robertson–Walker metric | Covariant derivative | Metric tensor | Metric signature | Geodesic | Symmetric tensor | Pseudo-Riemannian manifold | Tensor field | Vector field | Kerr metric | Killing form | Axial symmetry | Carter constant | Killing vector field | Linear combination | Time translation symmetry